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107397918 = 232194367109
BaseRepresentation
bin1100110011011…
…00001100011110
321111002101020200
412121230030132
5204443213133
614353524330
72442603315
oct631541436
9244071220
10107397918
1155694711
122bb736a6
1319333b84
141039927c
159666913
hex666c31e

107397918 has 96 divisors (see below), whose sum is σ = 256713600. Its totient is φ = 32332608.

The previous prime is 107397907. The next prime is 107397947. The reversal of 107397918 is 819793701.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985248 + ... + 985356.

It is an arithmetic number, because the mean of its divisors is an integer number (2674100).

Almost surely, 2107397918 is an apocalyptic number.

107397918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107397918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128356800).

107397918 is an abundant number, since it is smaller than the sum of its proper divisors (149315682).

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

107397918 is a wasteful number, since it uses less digits than its factorization.

107397918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The square root of 107397918 is about 10363.2966762512. The cubic root of 107397918 is about 475.3337163663. Note that the first 3 decimals are identical.

The spelling of 107397918 in words is "one hundred seven million, three hundred ninety-seven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 43 57 67 86 109 114 129 134 171 201 218 258 327 342 387 402 603 654 774 817 981 1206 1273 1634 1962 2071 2451 2546 2881 3819 4142 4687 4902 5762 6213 7303 7353 7638 8643 9374 11457 12426 14061 14606 14706 17286 18639 21909 22914 25929 28122 37278 42183 43818 51858 54739 65727 84366 89053 109478 131454 138757 164217 178106 267159 277514 314029 328434 416271 492651 534318 628058 801477 832542 942087 985302 1248813 1602954 1884174 2497626 2826261 5652522 5966551 11933102 17899653 35799306 53698959 107397918