107592289120 has 96 divisors (see below), whose sum is σ = 257441532768. Its totient is φ = 42486632448.

The previous prime is 107592289117. The next prime is 107592289151. The reversal of 107592289120 is 21982295701.

It is a super-2 number, since 2×107592289120² (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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26518132 + ... + 26522188.

It is an arithmetic number, because the mean of its divisors is an integer number (2681682633).

Almost surely, 2^107592289120 is an apocalyptic number.

107592289120 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 107592289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128720766384).

107592289120 is an abundant number, since it is smaller than the sum of its proper divisors (149849243648).

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

107592289120 is a wasteful number, since it uses less digits than its factorization.

107592289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 107592289120 in words is "one hundred seven billion, five hundred ninety-two million, two hundred eighty-nine thousand, one hundred twenty".