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107187075372 = 223131016802937
BaseRepresentation
bin110001111010011011…
…0001111100100101100
3101020200001101121012110
41203310312033210230
53224004342402442
6121124023004020
710513124052006
oct1436466174454
9336601347173
10107187075372
1141504345213
1218934899610
13a1527c5b70
14528b797376
152bc51a869c
hex18f4d8f92c

107187075372 has 48 divisors (see below), whose sum is σ = 272008672992. Its totient is φ = 32654092800.

The previous prime is 107187075349. The next prime is 107187075439. The reversal of 107187075372 is 273570781701.

It is a super-3 number, since 3×1071870753723 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385713 + ... + 3417224.

It is an arithmetic number, because the mean of its divisors is an integer number (5666847354).

Almost surely, 2107187075372 is an apocalyptic number.

107187075372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107187075372 is an abundant number, since it is smaller than the sum of its proper divisors (164821597620).

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

107187075372 is a wasteful number, since it uses less digits than its factorization.

107187075372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803058 (or 6803056 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 48.

The spelling of 107187075372 in words is "one hundred seven billion, one hundred eighty-seven million, seventy-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 1212 1313 2626 3939 5252 7878 15756 6802937 13605874 20408811 27211748 40817622 81635244 88438181 176876362 265314543 353752724 530629086 687096637 1061258172 1374193274 2061289911 2748386548 4122579822 8245159644 8932256281 17864512562 26796768843 35729025124 53593537686 107187075372