107031506880 has 112 divisors (see below), whose sum is σ = 340077795840. Its totient is φ = 28520506368.

The previous prime is 107031506861. The next prime is 107031506927. The reversal of 107031506880 is 88605130701.

It is a super-2 number, since 2×107031506880² (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271541 + ... + 1353099.

Almost surely, 2^107031506880 is an apocalyptic number.

107031506880 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 107031506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170038897920).

107031506880 is an abundant number, since it is smaller than the sum of its proper divisors (233046288960).

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

107031506880 is a wasteful number, since it uses less digits than its factorization.

107031506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82946 (or 82936 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 107031506880 in words is "one hundred seven billion, thirty-one million, five hundred six thousand, eight hundred eighty".