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105616792351 = 7532272814463
BaseRepresentation
bin110001001011101000…
…0000101101100011111
3101002121121121221212001
41202113100011230133
53212300344323401
6120304130223131
710426165631260
oct1422720055437
9332547557761
10105616792351
1140878a20354
1218576a24aa7
139c62396305
14517cdda967
152b323c9601
hex1897405b1f

105616792351 has 32 divisors (see below), whose sum is σ = 123991492608. Its totient is φ = 88094872320.

The previous prime is 105616792277. The next prime is 105616792357. The reversal of 105616792351 is 153297616501.

It is not a de Polignac number, because 105616792351 - 231 = 103469308703 is a prime.

It is a super-2 number, since 2×1056167923512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105616792357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23662746 + ... + 23667208.

It is an arithmetic number, because the mean of its divisors is an integer number (3874734144).

Almost surely, 2105616792351 is an apocalyptic number.

105616792351 is a deficient number, since it is larger than the sum of its proper divisors (18374700257).

105616792351 is a wasteful number, since it uses less digits than its factorization.

105616792351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031.

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 105616792351 in words is "one hundred five billion, six hundred sixteen million, seven hundred ninety-two thousand, three hundred fifty-one".

Divisors: 1 7 53 227 281 371 1589 1967 4463 12031 14893 31241 63787 84217 104251 236539 446509 1013101 1254103 1655773 3380711 7091707 8778721 23664977 53694353 66467459 284681381 375860471 465272213 1992769667 15088113193 105616792351