Restored iOS 10 with broken Home button
There is a way to unlock an iPhone running iOS 10 that has a broken home button and no access to Assistive Touch. Try the following:


On your Lock Screen, swipe right.
You should see the Search field at the top.
Type Settings in the Search field.
Your 'top hit' should be the Settings app. Tap on this.
You should now get the Touch ID or Enter Passcode screen.
Enter your passcode.
You should now see your settings.
Go to General -> Accessibility -> Assistive Touch and turn it on.
Also, while your still in the Accessibility settings, scroll to and tap the Home Button setting
Change the Click Speed and/or Rest Finger to Open settings to see if that also helps.


Good luck!