2 × 5 × 11 × 31 × 61
1, 2, 5, 10, 11, 22, 31, 55, 61, 62, 110, 122, 155, 305, 310, 341, 610, 671, 682, 1342, 1705, 1891, 3355, 3410, 3782, 6710, 9455, 18910, 20801, 41602, 104005 and 208010
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.