104999978160 has 1280 divisors, whose sum is σ = 479969280000. Its totient is φ = 20439060480.

The previous prime is 104999978107. The next prime is 104999978177. The reversal of 104999978160 is 61879999401.

104999978160 is a `hidden beast` number, since 1 + 0 + 499 + 9 + 9 + 7 + 81 + 60 = 666.

It is a super-2 number, since 2×104999978160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 470851809 + ... + 470852031.

It is an arithmetic number, because the mean of its divisors is an integer number (374976000).

Almost surely, 2^104999978160 is an apocalyptic number.

104999978160 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 104999978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640000).

104999978160 is an abundant number, since it is smaller than the sum of its proper divisors (374969301840).

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

104999978160 is a wasteful number, since it uses less digits than its factorization.

104999978160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 104999978160 in words is "one hundred four billion, nine hundred ninety-nine million, nine hundred seventy-eight thousand, one hundred sixty".