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105323031744 = 263778365351
BaseRepresentation
bin110001000010110111…
…1011110110011000000
3101001212010212101001120
41202011233132303000
53211200144003434
6120215034032240
710416000666330
oct1420557366300
9331763771046
10105323031744
1140738118697
12184b4578680
139c16571478
145151dad0c0
152b166ee349
hex1885bdecc0

105323031744 has 56 divisors (see below), whose sum is σ = 318476790528. Its totient is φ = 30092294400.

The previous prime is 105323031731. The next prime is 105323031757. The reversal of 105323031744 is 447130323501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105323031731) and next prime (105323031757).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1053230317442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39181332 + ... + 39184019.

Almost surely, 2105323031744 is an apocalyptic number.

105323031744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105323031744 is an abundant number, since it is smaller than the sum of its proper divisors (213153758784).

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

105323031744 is an equidigital number, since it uses as much as digits as its factorization.

105323031744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78365373 (or 78365363 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 105323031744 in words is "one hundred five billion, three hundred twenty-three million, thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 78365351 156730702 235096053 313461404 470192106 548557457 626922808 940384212 1097114914 1253845616 1645672371 1880768424 2194229828 2507691232 3291344742 3761536848 4388459656 5015382464 6582689484 7523073696 8776919312 13165378968 15046147392 17553838624 26330757936 35107677248 52661515872 105323031744