24 × 23 × 672103
1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 672103, 1344206, 2688412, 5376824, 10753648, 15458369, 30916738, 61833476, 123666952 and 247333904
No.
Its nearest Fibonacci number neighbors are 165580141 and 267914296.