How many public bills—of the 592 passed by the 106th congress—were enacted over presidential veto?

106th Congress was the congress between 1999 and 2001 - so we can just check how many vetoes happened in that time and whether they were overruled! The president was Bill Clinton. He had 36 Vetoes in total, 12 during 1999-2001, but none of them were overturned: so the answer is : 0 

(some override attempts failed)