cats that are kept inside as pets are called house cats.
What are they called when they go outside?
Then they are just a cat unless it is a stray.
How about alley cat? Is that not a thing?
I am not sure but there are more than 70 breeds
Wow, I know in parts of China and Asia they are food.
, but poorer color vision. Cats, despite being solitary hunters, are a social species. Cat communication includes the use of vocalizations including meowing, purring, trilling, hissing, growling and grunting as well as cat-specific body language. Cats also communicate by secreting and perceiving pheromones.
Female domestic cats can have kittens from spring to late autumn, with litter sizes ranging from two to five kittens. 
Domestic cats can be bred and shown as registered pedigreed cats, a hobby known as cat fancy. Failure to
Litter box
A litter box, sometimes called a sandbox, litter tray, cat pan, litter pan, or catbox, is an indoor feces and urine collection box for cats, as well as rabbits, ferrets, miniature pigs, small dogs (such as Beagles and Chihuahuas), and other pets that instinctively or through training will make use of such a repository. They are provided for pets that are permitted free roam of a home but who cannot or do not always go outside to excrete their metabolic waste.