Why Balaam's Confession Proves He Was Wholly Wicked

Midrash Tanchuma Buber, Balak 14:6

(Numbers 22:34:) Then Balaam said to the angel of the LORD: "I have sinned, for I did not know." This is to make known that he was completely wicked. He knew that nothing stands before [averts] the punishment except repentance, for anyone who sins and says, "I have sinned," the angel has no permission to touch him.

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