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105812613 = 3261192737
BaseRepresentation
bin1100100111010…
…01001010000101
321101002211121200
412103221022011
5204042000423
614255533113
72423251404
oct623511205
9241084550
10105812613
1154801645
122b52a199
1318bca41a
14100a563b
159451d43
hex64e9285

105812613 has 12 divisors (see below), whose sum is σ = 155346828. Its totient is φ = 69384960.

The previous prime is 105812611. The next prime is 105812617. The reversal of 105812613 is 316218501.

It can be written as a sum of positive squares in 2 ways, for example, as 61496964 + 44315649 = 7842^2 + 6657^2 .

It is not a de Polignac number, because 105812613 - 21 = 105812611 is a prime.

It is a super-2 number, since 2×1058126132 = 22392618139775538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105812611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95820 + ... + 96917.

It is an arithmetic number, because the mean of its divisors is an integer number (12945569).

Almost surely, 2105812613 is an apocalyptic number.

It is an amenable number.

105812613 is a deficient number, since it is larger than the sum of its proper divisors (49534215).

105812613 is a wasteful number, since it uses less digits than its factorization.

105812613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192804 (or 192801 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105812613 is about 10286.5257983442. The cubic root of 105812613 is about 472.9833065965.

The spelling of 105812613 in words is "one hundred five million, eight hundred twelve thousand, six hundred thirteen".

Divisors: 1 3 9 61 183 549 192737 578211 1734633 11756957 35270871 105812613