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106712868 = 22350917471
BaseRepresentation
bin1100101110001…
…00111100100100
321102210120112110
412113010330210
5204304302433
614331121020
72434021143
oct627047444
9242716473
10106712868
1155266a59
122b8a3170
1319154112
141025b75a
15957d963
hex65c4f24

106712868 has 24 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 35499040.

The previous prime is 106712861. The next prime is 106712891. The reversal of 106712868 is 868217601.

It is a super-2 number, since 2×1067128682 = 22775272393570848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106712861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2628 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 2106712868 is an apocalyptic number.

It is an amenable number.

106712868 is an abundant number, since it is smaller than the sum of its proper divisors (142787292).

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

106712868 is a wasteful number, since it uses less digits than its factorization.

106712868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17987 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 106712868 is about 10330.1920601700. The cubic root of 106712868 is about 474.3209028873.

The spelling of 106712868 in words is "one hundred six million, seven hundred twelve thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 509 1018 1527 2036 3054 6108 17471 34942 52413 69884 104826 209652 8892739 17785478 26678217 35570956 53356434 106712868