David Letterman’s sensational sex scandal has triggered a $300 million divorce war between the 62-year-old talk-show host and his outraged wife Regina, say sources close to the star.

The couple – who lived together for years before marrying March 19 – are fighting over everything from his extensive property holdings to custody of their son Harry, 6, according to insiders…

“Regina is humiliated, and she wants to get even with David for his public admission he cheated on her repeatedly during their 23-year relationship.”