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108166968 = 23337135503
BaseRepresentation
bin1100111001001…
…11111100111000
321112112110012000
412130213330320
5210142320333
614422221000
72452255410
oct634477470
9245473160
10108166968
115606a498
1230284760
1319542c30
1410519640
159769713
hex6727f38

108166968 has 128 divisors (see below), whose sum is σ = 369868800. Its totient is φ = 28522368.

The previous prime is 108166957. The next prime is 108167023. The reversal of 108166968 is 869661801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16905 + ... + 22407.

It is an arithmetic number, because the mean of its divisors is an integer number (2889600).

Almost surely, 2108166968 is an apocalyptic number.

108166968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108166968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184934400).

108166968 is an abundant number, since it is smaller than the sum of its proper divisors (261701832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108166968 is a wasteful number, since it uses less digits than its factorization.

108166968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 108166968 is about 10400.3349946047. The cubic root of 108166968 is about 476.4656014325.

It can be divided in two parts, 10816696 and 8, that multiplied together give a palindrome (86533568).

The spelling of 108166968 in words is "one hundred eight million, one hundred sixty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 5503 6552 9828 11006 16509 19656 22012 33018 38521 44024 49527 66036 71539 77042 99054 115563 132072 143078 148581 154084 198108 214617 231126 286156 297162 308168 346689 396216 429234 462252 500773 572312 594324 643851 693378 858468 924504 1001546 1040067 1188648 1287702 1386756 1502319 1716936 1931553 2003092 2080134 2575404 2773512 3004638 3863106 4006184 4160268 4506957 5150808 6009276 7726212 8320536 9013914 12018552 13520871 15452424 18027828 27041742 36055656 54083484 108166968