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108160416 = 25327134127
BaseRepresentation
bin1100111001001…
…10010110100000
321112112010012100
412130212112200
5210142113131
614422130400
72452230330
oct634462640
9245463170
10108160416
1156065581
1230280a00
131953cc60
14105170c0
1597677e6
hex67265a0

108160416 has 144 divisors (see below), whose sum is σ = 378653184. Its totient is φ = 28518912.

The previous prime is 108160411. The next prime is 108160427. The reversal of 108160416 is 614061801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 108160416.

It is not an unprimeable number, because it can be changed into a prime (108160411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24145 + ... + 28271.

It is an arithmetic number, because the mean of its divisors is an integer number (2629536).

Almost surely, 2108160416 is an apocalyptic number.

108160416 is a gapful number since it is divisible by the number (16) 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 108160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189326592).

108160416 is an abundant number, since it is smaller than the sum of its proper divisors (270492768).

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

108160416 is a wasteful number, since it uses less digits than its factorization.

108160416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108160416 is about 10400.0199999808. The cubic root of 108160416 is about 476.4559809180.

The spelling of 108160416 in words is "one hundred eight million, one hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4127 4368 6552 8254 8736 12381 13104 16508 24762 26208 28889 33016 37143 49524 53651 57778 66032 74286 86667 99048 107302 115556 132064 148572 160953 173334 198096 214604 231112 260001 297144 321906 346668 375557 396192 429208 462224 482859 520002 594288 643812 693336 751114 858416 924448 965718 1040004 1126671 1188576 1287624 1386672 1502228 1716832 1931436 2080008 2253342 2575248 2773344 3004456 3380013 3862872 4160016 4506684 5150496 6008912 6760026 7725744 8320032 9013368 12017824 13520052 15451488 18026736 27040104 36053472 54080208 108160416