107664456555 has 128 divisors (see below), whose sum is σ = 208728576000. Its totient is φ = 52471203840.

The previous prime is 107664456509. The next prime is 107664456607. The reversal of 107664456555 is 555654466701.

107664456555 is a `hidden beast` number, since 1 + 0 + 76 + 6 + 4 + 4 + 565 + 5 + 5 = 666.

It is not a de Polignac number, because 107664456555 - 2²³ = 107656067947 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9353934 + ... + 9365436.

It is an arithmetic number, because the mean of its divisors is an integer number (1630692000).

Almost surely, 2^107664456555 is an apocalyptic number.

107664456555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107664456555 is a deficient number, since it is larger than the sum of its proper divisors (101064119445).

107664456555 is a wasteful number, since it uses less digits than its factorization.

107664456555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11666 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 107664456555 in words is "one hundred seven billion, six hundred sixty-four million, four hundred fifty-six thousand, five hundred fifty-five".