# 100098600 (number)

100,098,600 (one hundred million ninety-eight thousand six hundred) is an even nine-digits composite number following 100098599 and preceding 100098601. In scientific notation, it is written as 1.000986 × 108. The sum of its digits is 24. It has a total of 8 prime factors and 96 positive divisors. There are 22,878,720 positive integers (up to 100098600) that are relatively prime to 100098600.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 9
• Sum of Digits 24
• Digital Root 6

## Name

Short name 100 million 98 thousand 600 one hundred million ninety-eight thousand six hundred

## Notation

Scientific notation 1.000986 × 108 100.0986 × 106

## Prime Factorization of 100098600

Prime Factorization 23 × 3 × 52 × 7 × 23833

Composite number
Distinct Factors Total Factors Radical ω(n) 5 Total number of distinct prime factors Ω(n) 8 Total number of prime factors rad(n) 5004930 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 100,098,600 is 23 × 3 × 52 × 7 × 23833. Since it has a total of 8 prime factors, 100,098,600 is a composite number.

## Divisors of 100098600

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200, 23833, 47666, 95332 Load all the 96 divisors

96 divisors

 Even divisors 72 24 12 12
Total Divisors Sum of Divisors Aliquot Sum τ(n) 96 Total number of the positive divisors of n σ(n) 3.5465e+08 Sum of all the positive divisors of n s(n) 2.54551e+08 Sum of the proper positive divisors of n A(n) 3.69427e+06 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 10004.9 Returns the nth root of the product of n divisors H(n) 27.0956 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 100,098,600 can be divided by 96 positive divisors (out of which 72 are even, and 24 are odd). The sum of these divisors (counting 100,098,600) is 354,649,920, the average is 3,694,270.

## Other Arithmetic Functions (n = 100098600)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 22878720 Total number of positive integers not greater than n that are coprime to n λ(n) 119160 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 5759464 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 22,878,720 positive integers (less than 100,098,600) that are coprime with 100,098,600. And there are approximately 5,759,464 prime numbers less than or equal to 100,098,600.

## Divisibility of 100098600

 m n mod m 2 3 4 5 6 7 8 9 0 0 0 0 0 0 0 6

The number 100,098,600 is divisible by 2, 3, 4, 5, 6, 7 and 8.

• Arithmetic
• Abundant

• Polite

## Base conversion (100098600)

Base System Value
2 Binary 101111101110110001000101000
3 Ternary 20222100112110120
4 Quaternary 11331312020220
5 Quinary 201111123400
6 Senary 13533243240
8 Octal 575661050
10 Decimal 100098600
12 Duodecimal 29633520
20 Vigesimal 1b5c6a0
36 Base36 1nlgko

## Basic calculations (n = 100098600)

### Multiplication

n×y
 n×2 200197200 300295800 400394400 500493000

### Division

n÷y
 n÷2 5.00493e+07 3.33662e+07 2.50246e+07 2.00197e+07

### Exponentiation

ny
 n2 10019729721960000 1002960917546585256000000 100394983701128618906241600000000 10049397315505793172448315421760000000000

### Nth Root

y√n
 2√n 10004.9 464.311 100.025 39.8186

## 100098600 as geometric shapes

### Circle

 Diameter 2.00197e+08 6.28938e+08 3.14779e+16

### Sphere

 Volume 4.20119e+24 1.25912e+17 6.28938e+08

### Square

Length = n
 Perimeter 4.00394e+08 1.00197e+16 1.41561e+08

### Cube

Length = n
 Surface area 6.01184e+16 1.00296e+24 1.73376e+08

### Equilateral Triangle

Length = n
 Perimeter 3.00296e+08 4.33867e+15 8.66879e+07

### Triangular Pyramid

Length = n
 Surface area 1.73547e+16 1.182e+23 8.17302e+07
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