107152560000 has 480 divisors, whose sum is σ = 394379476920. Its totient is φ = 27901440000.

The previous prime is 107152559977. The next prime is 107152560089. The reversal of 107152560000 is 65251701.

107152560000 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 52 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×107152560000² (a number of 23 digits) 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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30958270 + ... + 30961730.

Almost surely, 2^107152560000 is an apocalyptic number.

107152560000 is a gapful number since it is divisible by the number (10) 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 107152560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197189738460).

107152560000 is an abundant number, since it is smaller than the sum of its proper divisors (287226916920).

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

107152560000 is an equidigital number, since it uses as much as digits as its factorization.

107152560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 107152560000 in words is "one hundred seven billion, one hundred fifty-two million, five hundred sixty thousand".