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106037670528 = 2732163564703
BaseRepresentation
bin110001011000001010…
…1100111001010000000
3101010200221120210011200
41202300111213022000
53214131120424103
6120414003141200
710442466220326
oct1426025471200
9333627523150
10106037670528
1140a74556359
1218673974800
139ccb63795a
1451bcc77d16
152b593140a3
hex18b0567280

106037670528 has 96 divisors (see below), whose sum is σ = 307006976640. Its totient is φ = 35128982016.

The previous prime is 106037670469. The next prime is 106037670547. The reversal of 106037670528 is 825076730601.

106037670528 is a `hidden beast` number, since 1 + 0 + 60 + 3 + 7 + 67 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1060376705282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94576 + ... + 470127.

It is an arithmetic number, because the mean of its divisors is an integer number (3197989340).

Almost surely, 2106037670528 is an apocalyptic number.

106037670528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106037670528 is an abundant number, since it is smaller than the sum of its proper divisors (200969306112).

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

106037670528 is a wasteful number, since it uses less digits than its factorization.

106037670528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564886 (or 564871 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 106037670528 in words is "one hundred six billion, thirty-seven million, six hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 288 326 384 489 576 652 978 1152 1304 1467 1956 2608 2934 3912 5216 5868 7824 10432 11736 15648 20864 23472 31296 46944 62592 93888 187776 564703 1129406 1694109 2258812 3388218 4517624 5082327 6776436 9035248 10164654 13552872 18070496 20329308 27105744 36140992 40658616 54211488 72281984 81317232 92046589 108422976 162634464 184093178 216845952 276139767 325268928 368186356 552279534 650537856 736372712 828419301 1104559068 1472745424 1656838602 2209118136 2945490848 3313677204 4418236272 5890981696 6627354408 8836472544 11781963392 13254708816 17672945088 26509417632 35345890176 53018835264 106037670528