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105457424637 = 323532544097
BaseRepresentation
bin110001000110111000…
…0001001100011111101
3101002012111202020110010
41202031300021203331
53211434100042022
6120240234333433
710422222214335
oct1421560114375
9332174666403
10105457424637
11407a6a6aaa4
121853158a279
139c383675a6
145165b940c5
152b233e950c
hex188dc098fd

105457424637 has 24 divisors (see below), whose sum is σ = 149544247104. Its totient is φ = 65979257344.

The previous prime is 105457424609. The next prime is 105457424641. The reversal of 105457424637 is 736424754501.

It is not a de Polignac number, because 105457424637 - 27 = 105457424509 is a prime.

It is a super-2 number, since 2×1054574246372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105457424437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78228 + ... + 465869.

It is an arithmetic number, because the mean of its divisors is an integer number (6231010296).

Almost surely, 2105457424637 is an apocalyptic number.

It is an amenable number.

105457424637 is a deficient number, since it is larger than the sum of its proper divisors (44086822467).

105457424637 is an equidigital number, since it uses as much as digits as its factorization.

105457424637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544229 (or 544176 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 105457424637 in words is "one hundred five billion, four hundred fifty-seven million, four hundred twenty-four thousand, six hundred thirty-seven".

Divisors: 1 3 23 53 69 159 1219 2809 3657 8427 64607 193821 544097 1632291 12514231 28837141 37542693 86511423 663254243 1528368473 1989762729 4585105419 35152474879 105457424637