
Why do cats like to bite their owners?
If your cat keeps biting you, it's likely because it sees you as a playmate. Cats are usually very active, and in their eyes, people are playmates, the kind that can't be hurt, and they can play with you however they want.
If a cat gently nudges you, it might be expressing affection. However, if it bites you hard, it means it dislikes you. Generally, if a cat dislikes you, it will ignore you and won't bother to bite you.
When your cat comes over and gently nudges you while you're doing other things, it's a request—it wants your petting and interaction, and wants you to play with it. At this time, instead of wasting time, pet it and play with it.