104189817600 has 972 divisors, whose sum is σ = 432434588040. Its totient is φ = 23730585600.

The previous prime is 104189817577. The next prime is 104189817619. The reversal of 104189817600 is 6718981401.

It is a happy number.

104189817600 is a `hidden beast` number, since 10 + 4 + 18 + 9 + 8 + 17 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 183110116 + ... + 183110684.

Almost surely, 2^104189817600 is an apocalyptic number.

104189817600 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 104189817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216217294020).

104189817600 is an abundant number, since it is smaller than the sum of its proper divisors (328244770440).

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

104189817600 is a wasteful number, since it uses less digits than its factorization.

104189817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 104189817600 in words is "one hundred four billion, one hundred eighty-nine million, eight hundred seventeen thousand, six hundred".