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105457424606 = 21728166116699
BaseRepresentation
bin110001000110111000…
…0001001100011011110
3101002012111202020101222
41202031300021203132
53211434100041411
6120240234333342
710422222214262
oct1421560114336
9332174666358
10105457424606
11407a6a6aa76
121853158a252
139c38367581
145165b940a2
152b233e94db
hex188dc098de

105457424606 has 32 divisors (see below), whose sum is σ = 168351631200. Its totient is φ = 49372646400.

The previous prime is 105457424563. The next prime is 105457424609. The reversal of 105457424606 is 606424754501.

105457424606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054574246062 (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 (105457424609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6306845 + ... + 6323543.

It is an arithmetic number, because the mean of its divisors is an integer number (5260988475).

Almost surely, 2105457424606 is an apocalyptic number.

105457424606 is a deficient number, since it is larger than the sum of its proper divisors (62894206594).

105457424606 is a wasteful number, since it uses less digits than its factorization.

105457424606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17660.

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 105457424606 in words is "one hundred five billion, four hundred fifty-seven million, four hundred twenty-four thousand, six hundred six".

Divisors: 1 2 17 34 281 562 661 1322 4777 9554 11237 16699 22474 33398 185741 283883 371482 567766 3157597 4692419 6315194 9384838 11038039 22076078 79771123 159542246 187646663 375293326 3101688959 6203377918 52728712303 105457424606