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106725663 = 32112634099
BaseRepresentation
bin1100101110010…
…00000100011111
321102211020002100
412113020010133
5204310210123
614331300143
72434103352
oct627100437
9242736070
10106725663
1155275630
122b8aa653
1319159ba5
1410262299
159582643
hex65c811f

106725663 has 24 divisors (see below), whose sum is σ = 168854400. Its totient is φ = 64420560.

The previous prime is 106725659. The next prime is 106725701. The reversal of 106725663 is 366527601.

It is not a de Polignac number, because 106725663 - 22 = 106725659 is a prime.

It is a super-2 number, since 2×1067256632 = 22780734285579138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106725763) 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 23 ways as a sum of consecutive naturals, for example, 23988 + ... + 28086.

It is an arithmetic number, because the mean of its divisors is an integer number (7035600).

Almost surely, 2106725663 is an apocalyptic number.

106725663 is a deficient number, since it is larger than the sum of its proper divisors (62128737).

106725663 is a wasteful number, since it uses less digits than its factorization.

106725663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 106725663 is about 10330.8113427746. The cubic root of 106725663 is about 474.3398593434.

The spelling of 106725663 in words is "one hundred six million, seven hundred twenty-five thousand, six hundred sixty-three".

Divisors: 1 3 9 11 33 99 263 789 2367 2893 4099 8679 12297 26037 36891 45089 135267 405801 1078037 3234111 9702333 11858407 35575221 106725663