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106870641160 = 235101145918131
BaseRepresentation
bin110001110000111111…
…1001001001000001000
3101012211222222002001211
41203201333021020020
53222332341004120
6121032400422504
710502232314203
oct1434177111010
9335758862054
10106870641160
1141361766538
1218866917a34
13a10209299a
14525b74693a
152ba750025a
hex18e1fc9208

106870641160 has 64 divisors (see below), whose sum is σ = 243019569600. Its totient is φ = 42293664000.

The previous prime is 106870641091. The next prime is 106870641179. The reversal of 106870641160 is 61146078601.

It is a super-2 number, since 2×1068706411602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 5885295 + ... + 5903425.

It is an arithmetic number, because the mean of its divisors is an integer number (3797180775).

Almost surely, 2106870641160 is an apocalyptic number.

106870641160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106870641160 is an abundant number, since it is smaller than the sum of its proper divisors (136148928440).

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

106870641160 is a wasteful number, since it uses less digits than its factorization.

106870641160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19702 (or 19698 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 106870641160 in words is "one hundred six billion, eight hundred seventy million, six hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1459 2020 2918 4040 5836 7295 11672 14590 18131 29180 36262 58360 72524 90655 145048 147359 181310 294718 362620 589436 725240 736795 1178872 1473590 1831231 2947180 3662462 5894360 7324924 9156155 14649848 18312310 26453129 36624620 52906258 73249240 105812516 132265645 211625032 264531290 529062580 1058125160 2671766029 5343532058 10687064116 13358830145 21374128232 26717660290 53435320580 106870641160