On just a few test runs, (not a statistically significant sample size) this appears to have a tendency to leave parts of the original list in order (elements in original list tend to stay in the same order after sorting).

78945612103
71014568932
10924567831
68715491032
10194567823
78106519234
81096571342
86935721041
76891023514
61081547932
10876549231 (interesting: mostly reversed)

80, 79, 75, 67, 65, 57, 72, 62, 71, 61, 52, 95, 68, 87, 83, 82, 59, 78, 58, 77, 100, 64, 88, 97, 99, 74, 96, 1, 94, 3, 4, 98, 6, 8, 15, 17, 20, 22, 24, 26, 30, 31, 33, 34, 38, 39, 40, 44, 49, 50, 51, 53, 54, 55, 56, 60, 63, 66, 69, 70, 73, 76, 81, 84, 85, 86, 89, 90, 91, 92, 93, 35, 36, 10, 29, 48, 7, 32, 28, 42, 25, 47, 16, 41, 14, 46, 13, 45, 12, 11, 43, 9, 5, 21, 23, 37, 2, 18, 27, 19

91, 52, 84, 85, 86, 53, 88, 56, 51, 59, 94, 74, 72, 83, 61, 54, 95, 81, 82, 78, 55, 96, 2, 97, 4, 98, 99, 7, 100, 10, 13, 15, 17, 19, 20, 22, 26, 27, 28, 31, 32, 34, 35, 37, 38, 41, 42, 43, 47, 50, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 75, 76, 77, 79, 80, 87, 89, 90, 92, 93, 33, 48, 49, 40, 12, 1, 3, 5, 46, 8, 36, 14, 45, 44, 30, 11, 9, 39, 29, 16, 18, 24, 25, 23, 6, 21

93, 95, 78, 79, 99, 90, 74, 61, 92, 77, 100, 64, 98, 97, 63, 73, 85, 67, 54, 56, 80, 1, 2, 89, 4, 91, 6, 94, 8, 96, 10, 14, 15, 18, 21, 23, 24, 25, 27, 29, 30, 31, 34, 37, 39, 41, 45, 47, 49, 50, 51, 52, 53, 55, 57, 58, 59, 60, 62, 65, 66, 68, 69, 70, 71, 72, 75, 76, 81, 82, 83, 84, 86, 87, 88, 20, 35, 17, 33, 19, 22, 48, 3, 11, 46, 44, 38, 40, 36, 32, 16, 13, 12, 9, 7, 26, 42, 43, 28, 5

I don't have the mathematical background to correctly analyze this, but based on what I know about quicksort, this doesn't surprise me a lot. It feels strange, anyway.

This kind of stuff makes me wish I'd taken more math, but my intuition tells me Bruce Schneier would not approve... :-)