103160090880 has 864 divisors, whose sum is σ = 471240177408. Its totient is φ = 20171980800.

The previous prime is 103160090809. The next prime is 103160090941. The reversal of 103160090880 is 88090061301.

103160090880 is a `hidden beast` number, since 10 + 31 + 600 + 9 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15076260 + ... + 15083100.

It is an arithmetic number, because the mean of its divisors is an integer number (545416872).

Almost surely, 2^103160090880 is an apocalyptic number.

103160090880 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 103160090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235620088704).

103160090880 is an abundant number, since it is smaller than the sum of its proper divisors (368080086528).

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

103160090880 is a wasteful number, since it uses less digits than its factorization.

103160090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 103160090880 in words is "one hundred three billion, one hundred sixty million, ninety thousand, eight hundred eighty".