Dropped my iPhone, it randomly turns off every minute.

I dropped my iPhone, nothing cracked but my phone started randomly shutting down every time I use it for more than a minute, btw battery health is at 100%. This includes when it is plugged into a power source, after I have cleared the app cache and I have tried to do a soft reset on it more than twice.. no results. I saw that the only solution was to create a backup and enter DFU mode, but the only problem is my iPhone shuts down before the backup is complete.