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107649125 = 532773109
BaseRepresentation
bin1100110101010…
…01100001100101
321111120010211122
412122221201211
5210024233000
614403143325
72445000563
oct632514145
9244503748
10107649125
1155846421
1230074b45
13193c130c
1410422a33
1596b6085
hex66a9865

107649125 has 16 divisors (see below), whose sum is σ = 134874480. Its totient is φ = 85780800.

The previous prime is 107649107. The next prime is 107649161. The reversal of 107649125 is 521946701.

It can be written as a sum of positive squares in 8 ways, for example, as 72199009 + 35450116 = 8497^2 + 5954^2 .

It is not a de Polignac number, because 107649125 - 28 = 107648869 is a prime.

It is a super-2 number, since 2×1076491252 = 23176668226531250, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 33071 + ... + 36179.

It is an arithmetic number, because the mean of its divisors is an integer number (8429655).

Almost surely, 2107649125 is an apocalyptic number.

It is an amenable number.

107649125 is a deficient number, since it is larger than the sum of its proper divisors (27225355).

107649125 is an equidigital number, since it uses as much as digits as its factorization.

107649125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 107649125 is about 10375.4096304676. The cubic root of 107649125 is about 475.7040344659.

The spelling of 107649125 in words is "one hundred seven million, six hundred forty-nine thousand, one hundred twenty-five".

Divisors: 1 5 25 125 277 1385 3109 6925 15545 34625 77725 388625 861193 4305965 21529825 107649125