22 × 33 × 113
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 113, 226, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102 and 12204
No.
Its nearest Fibonacci number neighbors are 10946 and 17711.