You can't not be a resident of any nation.
A person, or a corporation? A corporation is a legal fiction, created by the threat of force of a nation (in the end, it always boils down to force) and therefore it cannot exist without a nation. But a person who amassed sufficient capital (of whatever kind) to for example move onto an aircraft carrier[-sized vessel] in international waters, and who renounced their citizenship, might reasonably not be a resident of any nation. Problem is, when it comes time to make more money, someone will still try to collect some taxes from you. And also, nations like for you to belong to some nation so that they can decide how to treat you without having to think, based on your passport.