\\(\mathbf{Cat}\\) is something like a categorified topos.

After all, since the category \\(\mathbf{Set}\\) is the prototypical topos and since a \\(\mathbf{Set}\\)-category is another name for a category, then \\(\mathbf{Cat}\\) the category of categories is by another name the \\(\mathbf{Set}\\)-category of \\(\mathbf{Set}\\)-categories.

In fact, I wouldn't be surprised if all toposes can be enriched like the category \\(\mathbf{Set}\\).

After all, since the category \\(\mathbf{Set}\\) is the prototypical topos and since a \\(\mathbf{Set}\\)-category is another name for a category, then \\(\mathbf{Cat}\\) the category of categories is by another name the \\(\mathbf{Set}\\)-category of \\(\mathbf{Set}\\)-categories.

In fact, I wouldn't be surprised if all toposes can be enriched like the category \\(\mathbf{Set}\\).