As one of the first heirs, others who inherit this house include your mother's parents (that is, your grandparents). If both your grandparents are dead, then you can inherit the whole house. If your grandparents are still alive, then you can inherit one of them.
Your father divorced your mother and dissolved the legal marriage, so your father lost his inheritance as a spouse. Your relationship with your mother will not change because of your parents' divorce. You are still her child, so you can inherit it.