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106815536910 = 23254012959699
BaseRepresentation
bin110001101111010110…
…0111011111100001110
3101012201011021111020200
41203132230323330032
53222224234140120
6121023111354330
710500663040335
oct1433654737416
9335634244220
10106815536910
1141333649935
12188503829a6
13a0c383b214
1452542c0d1c
152ba2767e90
hex18deb3bf0e

106815536910 has 48 divisors (see below), whose sum is σ = 278413059600. Its totient is φ = 28413100800.

The previous prime is 106815536899. The next prime is 106815536921. The reversal of 106815536910 is 19635518601.

106815536910 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 553 + 6 + 91 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106815536899) and next prime (106815536921).

It is a super-2 number, since 2×1068155369102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443760 + ... + 1515939.

It is an arithmetic number, because the mean of its divisors is an integer number (5800272075).

Almost surely, 2106815536910 is an apocalyptic number.

106815536910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106815536910 is an abundant number, since it is smaller than the sum of its proper divisors (171597522690).

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

106815536910 is a wasteful number, since it uses less digits than its factorization.

106815536910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960113 (or 2960110 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 106815536910 in words is "one hundred six billion, eight hundred fifteen million, five hundred thirty-six thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 401 802 1203 2005 2406 3609 4010 6015 7218 12030 18045 36090 2959699 5919398 8879097 14798495 17758194 26637291 29596990 44395485 53274582 88790970 133186455 266372910 1186839299 2373678598 3560517897 5934196495 7121035794 10681553691 11868392990 17802589485 21363107382 35605178970 53407768455 106815536910