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105857017 = 723657497
BaseRepresentation
bin1100100111100…
…11111111111001
321101012002112021
412103303333321
5204044411032
614300514441
72423525020
oct623637771
9241162467
10105857017
1154831a42
122b54ba21
1318c146b6
14100b78b7
159460097
hex64f3ff9

105857017 has 8 divisors (see below), whose sum is σ = 126239616. Its totient is φ = 86789472.

The previous prime is 105856969. The next prime is 105857041. The reversal of 105857017 is 710758501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-105857017 is a prime.

It is a super-2 number, since 2×1058570172 = 22411416096276578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105857057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328588 + ... + 328909.

It is an arithmetic number, because the mean of its divisors is an integer number (15779952).

Almost surely, 2105857017 is an apocalyptic number.

It is an amenable number.

105857017 is a deficient number, since it is larger than the sum of its proper divisors (20382599).

105857017 is an equidigital number, since it uses as much as digits as its factorization.

105857017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657527.

The product of its (nonzero) digits is 9800, while the sum is 34.

The square root of 105857017 is about 10288.6839294440. The cubic root of 105857017 is about 473.0494594333.

The spelling of 105857017 in words is "one hundred five million, eight hundred fifty-seven thousand, seventeen".

Divisors: 1 7 23 161 657497 4602479 15122431 105857017