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108103924858960 = 24514930689295517
BaseRepresentation
bin11000100101000111101000…
…000010100100000001010000
3112011202122010101122202201101
4120211013220002210001100
5103132133314230441320
61021530131341114144
731525152014655502
oct3045075002440120
9464678111582641
10108103924858960
11314996873570a8
121015b321858954
13484220571c694
141c9a3878a5d72
15c77070300c0a
hex6251e80a4050

108103924858960 has 80 divisors (see below), whose sum is σ = 253037583018000. Its totient is φ = 42949813157888.

The previous prime is 108103924858931. The next prime is 108103924859011. The reversal of 108103924858960 is 69858429301801.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1862831900736 + 106241092958224 = 1364856^2 + 10307332^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 108103924858892 and 108103924858901.

It is a congruent number.

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, 365665122 + ... + 365960638.

It is an arithmetic number, because the mean of its divisors is an integer number (3162969787725).

Almost surely, 2108103924858960 is an apocalyptic number.

108103924858960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108103924858960 is an abundant number, since it is smaller than the sum of its proper divisors (144933658159040).

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

108103924858960 is a wasteful number, since it uses less digits than its factorization.

108103924858960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326368 (or 326362 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 64.

The spelling of 108103924858960 in words is "one hundred eight trillion, one hundred three billion, nine hundred twenty-four million, eight hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 30689 61378 122756 153445 245512 295517 306890 491024 591034 613780 1182068 1227560 1477585 2364136 2455120 2955170 4572661 4728272 5910340 9145322 11820680 18290644 22863305 23641360 36581288 44032033 45726610 73162576 88064066 91453220 176128132 182906440 220160165 352256264 365812880 440320330 704512528 880640660 1761281320 3522562640 9069121213 18138242426 36276484852 45345606065 72552969704 90691212130 145105939408 181382424260 362764848520 725529697040 1351299060737 2702598121474 5405196242948 6756495303685 10810392485896 13512990607370 21620784971792 27025981214740 54051962429480 108103924858960