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10. Vermont

Number of residents per UHNW individual: 4,635
UHNW population: 135
Total population: 625,741

"One of advantages of states with beautiful natural resources is their ability to attract the ultra-wealthy to have vacation homes there," Wealth-X's Friedman said in an interview. One such ultra-wealthy individual is Mandalay Entertainment chairman and CEO Howard Peter Guber, whose net worth is $630 million, according to Friedman. "He has a residence in Los Angeles, so this is probably his vacation home," he said.

Other UHNW residents of Vermont include Brad Dorsogna, director of Madison Square Garden and John Abele, founder & director of the Boston Scientific.

Glenn Van Der Knijff | Lonely Planet Images | Getty Images