104993848960 has 768 divisors, whose sum is σ = 347879992320. Its totient is φ = 29472030720.

The previous prime is 104993848907. The next prime is 104993849003. The reversal of 104993848960 is 69848399401.

It is a super-2 number, since 2×104993848960² (a number of 23 digits) contains 22 as substring.

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, 331210722 + ... + 331211038.

It is an arithmetic number, because the mean of its divisors is an integer number (452968740).

Almost surely, 2^104993848960 is an apocalyptic number.

104993848960 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 104993848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173939996160).

104993848960 is an abundant number, since it is smaller than the sum of its proper divisors (242886143360).

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

104993848960 is a wasteful number, since it uses less digits than its factorization.

104993848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 61.

The spelling of 104993848960 in words is "one hundred four billion, nine hundred ninety-three million, eight hundred forty-eight thousand, nine hundred sixty".