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105410204232 = 23314731298153
BaseRepresentation
bin110001000101011110…
…0000001001001001000
3101002002012220012020020
41202022330001021020
53211340003013412
6120231430300440
710421106644454
oct1421274011110
9332065805206
10105410204232
1140782348673
12185197b7720
139c2b643418
14515d7c1664
152b1e1bd18c
hex188af01248

105410204232 has 32 divisors (see below), whose sum is σ = 263544283680. Its totient is φ = 35134231680.

The previous prime is 105410204219. The next prime is 105410204297. The reversal of 105410204232 is 232402014501.

It is a super-4 number, since 4×1054102042324 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204468 + ... + 502620.

It is an arithmetic number, because the mean of its divisors is an integer number (8235758865).

Almost surely, 2105410204232 is an apocalyptic number.

105410204232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105410204232 is an abundant number, since it is smaller than the sum of its proper divisors (158134079448).

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

105410204232 is a wasteful number, since it uses less digits than its factorization.

105410204232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312893 (or 312889 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 105410204232 its reverse (232402014501), we get a palindrome (337812218733).

The spelling of 105410204232 in words is "one hundred five billion, four hundred ten million, two hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 14731 29462 44193 58924 88386 117848 176772 298153 353544 596306 894459 1192612 1788918 2385224 3577836 7155672 4392091843 8784183686 13176275529 17568367372 26352551058 35136734744 52705102116 105410204232