Integer cents is certainly less of a pain in the butt than floating point dollars; I worked on an advertising project where I couldn't convince people to use integer cents, and the result was predictable madness where floating point values didn't line up.

Fixed precision decimal works as well and may (or may not) require less cognitive load. The nice thing (imho) about using decimal types in code is that since they're uncommon they act as a signal to treat things carefully.