107131664 has 10 divisors (see below), whose sum is σ = 207567630. Its totient is φ = 53565824.

The previous prime is 107131657. The next prime is 107131711. The reversal of 107131664 is 466131701.

It can be written as a sum of positive squares in only one way, i.e., 104857600 + 2274064 = 10240^2 + 1508^2 .

It is a super-2 number, since 2×107131664² = 22954386862817792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3347849 + ... + 3347880.

It is an arithmetic number, because the mean of its divisors is an integer number (20756763).

Almost surely, 2^107131664 is an apocalyptic number.

It is an amenable number.

107131664 is a deficient number, since it is larger than the sum of its proper divisors (100435966).

107131664 is an equidigital number, since it uses as much as digits as its factorization.

107131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695737 (or 6695731 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 107131664 is about 10350.4426958464. The cubic root of 107131664 is about 474.9405857357.

The spelling of 107131664 in words is "one hundred seven million, one hundred thirty-one thousand, six hundred sixty-four".