10107611160 has 128 divisors (see below), whose sum is σ = 31281508800. Its totient is φ = 2610800640.

The previous prime is 10107611159. The next prime is 10107611183. The reversal of 10107611160 is 6111670101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10107611160.

It is a congruent number.

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, 1011790 + ... + 1021730.

Almost surely, 2^10107611160 is an apocalyptic number.

10107611160 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 10107611160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640754400).

10107611160 is an abundant number, since it is smaller than the sum of its proper divisors (21173897640).

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

10107611160 is a wasteful number, since it uses less digits than its factorization.

10107611160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10217 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 10107611160 in words is "ten billion, one hundred seven million, six hundred eleven thousand, one hundred sixty".