104307417600 has 240 divisors, whose sum is σ = 346874256960. Its totient is φ = 27629568000.

The previous prime is 104307417589. The next prime is 104307417631. The reversal of 104307417600 is 6714703401.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5789406 + ... + 5807394.

It is an arithmetic number, because the mean of its divisors is an integer number (1445309404).

Almost surely, 2^104307417600 is an apocalyptic number.

104307417600 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 104307417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173437128480).

104307417600 is an abundant number, since it is smaller than the sum of its proper divisors (242566839360).

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

104307417600 is a wasteful number, since it uses less digits than its factorization.

104307417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18171 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 104307417600 in words is "one hundred four billion, three hundred seven million, four hundred seventeen thousand, six hundred".