Usually phase noise, which is typically a result of Johnson noise on the input buffer into the divider block, or the internal logic within, which will cause jitter on the output.
The result of phase noise is that the fundamental at 10MHz is 'smeared' over a larger range, it is no longer a sharp, singular point. Of course, in reality, you can never have such a perfect input frequency to begin with, and barring some devices which 'clean' input frequencies, the phase noise is going to be determined by the worst component in the chain.
The consequence of this is that it reduces timing margins for downstream components, degrades ADC and DAC performance, and annoys audiophools who believe they can hear picoseconds of jitter.