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105997014 = 23257110313
BaseRepresentation
bin1100101000101…
…10001011010110
321101110012120100
412110112023112
5204113401024
614303514530
72424650124
oct624261326
9241405510
10105997014
1154918142
122b5b8a46
1318c63336
1410112914
15948b7c9
hex65162d6

105997014 has 24 divisors (see below), whose sum is σ = 230084712. Its totient is φ = 35267040.

The previous prime is 105997009. The next prime is 105997033. The reversal of 105997014 is 410799501.

It is a super-2 number, since 2×1059970142 = 22470733953832392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105997014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5122 + ... + 15434.

It is an arithmetic number, because the mean of its divisors is an integer number (9586863).

Almost surely, 2105997014 is an apocalyptic number.

105997014 is an abundant number, since it is smaller than the sum of its proper divisors (124087698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105997014 is a wasteful number, since it uses less digits than its factorization.

105997014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10892 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 105997014 is about 10295.4851269865. The cubic root of 105997014 is about 473.2579051709.

The spelling of 105997014 in words is "one hundred five million, nine hundred ninety-seven thousand, fourteen".

Divisors: 1 2 3 6 9 18 571 1142 1713 3426 5139 10278 10313 20626 30939 61878 92817 185634 5888723 11777446 17666169 35332338 52998507 105997014