103286090880 has 192 divisors, whose sum is σ = 407611339200. Its totient is φ = 23608240128.

The previous prime is 103286090833. The next prime is 103286090881. The reversal of 103286090880 is 88090682301.

103286090880 is a `hidden beast` number, since 1 + 0 + 32 + 8 + 609 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103286090881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240510 + ... + 1321149.

It is an arithmetic number, because the mean of its divisors is an integer number (2122975725).

Almost surely, 2^103286090880 is an apocalyptic number.

103286090880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103286090880 is an abundant number, since it is smaller than the sum of its proper divisors (304325248320).

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

103286090880 is a wasteful number, since it uses less digits than its factorization.

103286090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561691 (or 2561676 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 103286090880 in words is "one hundred three billion, two hundred eighty-six million, ninety thousand, eight hundred eighty".