My iPhone won't turn on?

It's an iPhone 6 w/ iOS 10.3. I was just watching Netflix and it was working perfectly fine; i put it down for 5 minutes and it turned off and wouldnt turn back on. It was charging at the time so it didn't die. I tried just holding the power button for 30 seconds, didn't work. The charging icon doesn't even show up. Also my home button is broken ever since i got my screen replaced so i can't hold down the home and power button to fix it. I left it not charging for about 2 hours now, checked on it and its hot, but i don't know if that means anything. How do I fix this?

Added (1). I can't take it to the apple store, I live in hawaii and we don't have one.

Take it to apple

The most likely reason it's off is because it's hot. I've gone around outside in times when my phone would become extremely hot, and it would just shut off.
Thus, I'm thinking your phone had an automatic shutdown because it heated up too much and needs to cool down.