103104977664 has 144 divisors (see below), whose sum is σ = 299682319104. Its totient is φ = 31277568000.

The previous prime is 103104977623. The next prime is 103104977681. The reversal of 103104977664 is 466779401301.

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 15 ways as a sum of consecutive naturals, for example, 636139 + ... + 781589.

It is an arithmetic number, because the mean of its divisors is an integer number (2081127216).

Almost surely, 2^103104977664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103104977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149841159552).

103104977664 is an abundant number, since it is smaller than the sum of its proper divisors (196577341440).

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

103104977664 is a wasteful number, since it uses less digits than its factorization.

103104977664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145554 (or 145540 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 103104977664 in words is "one hundred three billion, one hundred four million, nine hundred seventy-seven thousand, six hundred sixty-four".