From how high could have Felix Baumgartner jumped without disintegrating like a shooting star?

Today Felix Baumgartner jumped from 39 kilometres high and reached the earth safely.

Just considering friction, from how high can a human jump?

I expect that from a certain height, he would have reached a speed so high that he would have burnt when entering dense atmosphere?

Some meteoroids disintegrate when they reach the atmosphere, other don't... so I am not sure what would happen for a 100kg human+spacesuit.
Maybe he could jump from arbitrarily high? (notwithstanding digestion/food/drinks, gravity from other stars/planets, lifespan, cold)

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However, it wouldn't be pleasant to slow down from such speeds in the atmosphere. ;-) You see that if you uniformly slow down from 10 km/s to 0 km/s while flying through 10 km of the atmosphere, the penetration through the atmosphere takes about 2 seconds. However, getting from 10 km/s to 0 km/s in two seconds means that the deceleration is 5000 m/s/s or 500 $g$. I guess that not even he could survive that. ;-)