That's a good question. Generally when you find a roach lying on its back, its because its been treated by the chemicals used by your pest control company. Those products are actually neurotoxins or they affect the nervous system of the insect, which in dying causes them to flop around and end up on their back. However sometimes a healthy roach can find itself on its back and if it can't right itself, it will just die because it can hide and it will starve.