107031564864 has 1120 divisors, whose sum is σ = 406278892800. Its totient is φ = 27172454400.

The previous prime is 107031564863. The next prime is 107031564907. The reversal of 107031564864 is 468465130701.

107031564864 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 3 + 1 + 564 + 86 + 4 = 666.

It is a super-2 number, since 2×107031564864² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107031564863) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1059718414 + ... + 1059718514.

Almost surely, 2^107031564864 is an apocalyptic number.

107031564864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107031564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203139446400).

107031564864 is an abundant number, since it is smaller than the sum of its proper divisors (299247327936).

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

107031564864 is a wasteful number, since it uses less digits than its factorization.

107031564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 107031564864 in words is "one hundred seven billion, thirty-one million, five hundred sixty-four thousand, eight hundred sixty-four".