104789817600 has 216 divisors, whose sum is σ = 372431287872. Its totient is φ = 25794355200.

The previous prime is 104789817571. The next prime is 104789817611. The reversal of 104789817600 is 6718987401.

104789817600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39685 + ... + 459515.

Almost surely, 2^104789817600 is an apocalyptic number.

104789817600 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 104789817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186215643936).

104789817600 is an abundant number, since it is smaller than the sum of its proper divisors (267641470272).

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

104789817600 is a wasteful number, since it uses less digits than its factorization.

104789817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419873 (or 419854 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 104789817600 in words is "one hundred four billion, seven hundred eighty-nine million, eight hundred seventeen thousand, six hundred".