I think I may have stumbled upon a fix for the random reboots we are seeing on the Z10s. In preparation to return my FOURTH Z10 back to verizon I performed a full security wipe FROM THE DEVICE. After its complete reset, I decided to give the device one more try. I went back through setup, downloaded the exact same apps I had on the device before and I have noticed more available memory and NO RANDOM REBOOTS within the last 18 hours and counting. I have also charged overnight with no reboots occurring while it was on the charger.
Someone else give it a try and let me know if it works or you too!