I have a problem with bound charges (electricity/magnetism question).?

Suppose I have a torus (sp?), in the horizontal plane, with square cross section and uniform magnitization in the cirferential direction. If I calculate the bound surface current, I find that it flows up on the inner surface, radially outward on the top, down on the outter surface, and radially inward on the bottom surface. The problem is the current density is a constant, same on all surfaces. This implies that less total current flows on the inner surface than on the outer surface (due to different cirferences). This makes no sense. And consequently, Ampere's law (integral form) cannot be used to find the magnetic field inside the torus, because the field will depend on where I make my loop. Can someone possibly give me a hint on where I'm going wrong?