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106900688 = 24192315289
BaseRepresentation
bin1100101111100…
…10110011010000
321110011010011202
412113302303100
5204331310223
614335130332
72435432546
oct627626320
9243133152
10106900688
1155385084
122b9739a8
13191bb75b
14102a9d96
1595b9428
hex65f2cd0

106900688 has 40 divisors (see below), whose sum is σ = 227515200. Its totient is φ = 48432384.

The previous prime is 106900687. The next prime is 106900691. The reversal of 106900688 is 886009601.

It is a super-2 number, since 2×1069006882 = 22855514189746688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106900687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653 + ... + 14636.

It is an arithmetic number, because the mean of its divisors is an integer number (5687880).

Almost surely, 2106900688 is an apocalyptic number.

It is an amenable number.

106900688 is an abundant number, since it is smaller than the sum of its proper divisors (120614512).

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

106900688 is a wasteful number, since it uses less digits than its factorization.

106900688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15339 (or 15333 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 106900688 is about 10339.2788916829. The cubic root of 106900688 is about 474.5990159798.

The spelling of 106900688 in words is "one hundred six million, nine hundred thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 15289 30578 61156 122312 244624 290491 351647 580982 703294 1161964 1406588 2323928 2813176 4647856 5626352 6681293 13362586 26725172 53450344 106900688