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105616525314 = 23701142717597
BaseRepresentation
bin110001001011100111…
…1000100100000000010
3101002121121010101112210
41202113033010200002
53212300312302224
6120304120402550
710426163436606
oct1422717044002
9332547111483
10105616525314
1140878858763
1218576916456
139c623018c1
14517cd6b506
152b32375429
hex18973c4802

105616525314 has 32 divisors (see below), whose sum is σ = 211694648256. Its totient is φ = 35128654400.

The previous prime is 105616525279. The next prime is 105616525349. The reversal of 105616525314 is 413525616501.

It is an interprime number because it is at equal distance from previous prime (105616525279) and next prime (105616525349).

It is a super-2 number, since 2×1056165253142 (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 15 ways as a sum of consecutive naturals, for example, 5993164 + ... + 6010760.

It is an arithmetic number, because the mean of its divisors is an integer number (6615457758).

Almost surely, 2105616525314 is an apocalyptic number.

105616525314 is an abundant number, since it is smaller than the sum of its proper divisors (106078122942).

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

105616525314 is a wasteful number, since it uses less digits than its factorization.

105616525314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19730.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 105616525314 in words is "one hundred five billion, six hundred sixteen million, five hundred twenty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 701 1402 1427 2103 2854 4206 4281 8562 17597 35194 52791 105582 1000327 2000654 3000981 6001962 12335497 24670994 25110919 37006491 50221838 74012982 75332757 150665514 17602754219 35205508438 52808262657 105616525314