103930884864 has 360 divisors, whose sum is σ = 322134563520. Its totient is φ = 33288192000.

The previous prime is 103930884791. The next prime is 103930884931. The reversal of 103930884864 is 468488039301.

It is a super-2 number, since 2×103930884864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 103930884864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241138729 + ... + 241139159.

It is an arithmetic number, because the mean of its divisors is an integer number (894818232).

Almost surely, 2^103930884864 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 103930884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161067281760).

103930884864 is an abundant number, since it is smaller than the sum of its proper divisors (218203678656).

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

103930884864 is an equidigital number, since it uses as much as digits as its factorization.

103930884864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 103930884864 in words is "one hundred three billion, nine hundred thirty million, eight hundred eighty-four thousand, eight hundred sixty-four".