Is it a Satisfying Number?
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feels too long

DŒṖṖEÐƤḄ$ÐṀLÐṂṪµḢ*@0¦LµṪ⁼Ḍ


A monadic link taking an integer and returning 1 if the input is satisfying and 0 if not.

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How?

DŒṖṖEÐƤḄ$ÐṀLÐṂṪµḢ*@0¦LµṪ⁼Ḍ - Link: integer, n    e.g. 8300
D                          - to decimal list          [8,3,0,0]
 ŒṖ                        - all partitions           [[[8],[3],[0],[0]],[[8],[3],[0,0]],[[8],[3,0],[0]],[[8],[3,0,0]],[[8,3],[0],[0]],[[8,3],[0,0]],[[8,3,0],[0]],[[8,3,0,0]]]
   Ṗ                       - pop (the "no tail" one)  [[[8],[3],[0],[0]],[[8],[3],[0,0]],[[8],[3,0],[0]],[[8],[3,0,0]],[[8,3],[0],[0]],[[8,3],[0,0]],[[8,3,0],[0]]]
         ÐṀ                - keep maximal under the operation: e.g. for [[8,3],[0],[0]]
        $                  -   last two links as a monad:
     ÐƤ                    -     for suffixes:   i.e. [[[8,3],[0],[0]],[[0],[0]],[[0]]]
    E                      -       all equal?         [0              ,1        ,1]
       Ḅ                   -     convert from binary  3
                           -          ...which yields [[[8],[3],[0],[0]],[[8,3],[0],[0]]]
            ÐṂ             - keep minimal under the operation:
           L               -   length
                           -          ...which yields [[[8,3],[0],[0]]]
              Ṫ            - tail (rightmost)         [[8,3],[0],[0]] 
               µ           - monadic chain separation
                Ḣ          - yield head and modify    [8,3]   ...leaving [[0],[0]]
                     L     - length (of modified)     2
                    ¦      - sparse application       (to the [8,3])
                   0       -   ...to index: 0         (to the rightmost digit, the 3)
                 *@        -   power (sw@p args)      [8,8]  ([8, 3*@2] = [8, 2*3] = [8,8])
                      µ    - monadic chain separation
                       Ṫ   - yield tail and modify    8   ...leaving [8]
                         Ḍ - from decimal (modified)  8
                        ⁼  - equal?                   1