107601990960 has 160 divisors (see below), whose sum is σ = 354706672320. Its totient is φ = 26889846784.

The previous prime is 107601990911. The next prime is 107601990973. The reversal of 107601990960 is 69099106701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894046 + ... + 1007234.

It is an arithmetic number, because the mean of its divisors is an integer number (2216916702).

Almost surely, 2^107601990960 is an apocalyptic number.

107601990960 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 107601990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177353336160).

107601990960 is an abundant number, since it is smaller than the sum of its proper divisors (247104681360).

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

107601990960 is a wasteful number, since it uses less digits than its factorization.

107601990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113455 (or 113449 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The spelling of 107601990960 in words is "one hundred seven billion, six hundred one million, nine hundred ninety thousand, nine hundred sixty".