someone else controlling phone

I have an iPhone 6. Occasionally, when I go to turn it on, it looks like someone else is controlling my phone. I don't unlock it so there is no harm. It will go to the search and type in random numbers, it will also try to open the calculator, camera, etc... The only way to stop it is to turn the phone off. Recently, I have been having problems with this in the mornings. I look at my phone and there is a weird screen open that I didn't open. The problem is, my alarm is being turned off because of this. I have been late for work twice because of this issue. I have to manually go back into my alarms and turn it back on after this happens. Any help with this would be great. I can't miss or be late for any more work.