104217600 has 264 divisors, whose sum is σ = 365512320. Its totient is φ = 26132480.

The previous prime is 104217569. The next prime is 104217601. The reversal of 104217600 is 6712401.

It is a super-2 number, since 2×104217600² = 21722616299520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104217601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766371 + ... + 1766429.

Almost surely, 2^104217600 is an apocalyptic number.

104217600 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 104217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182756160).

104217600 is an abundant number, since it is smaller than the sum of its proper divisors (261294720).

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

104217600 is a wasteful number, since it uses less digits than its factorization.

104217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 104217600 is about 10208.7021702075. The cubic root of 104217600 is about 470.5946901075.

The spelling of 104217600 in words is "one hundred four million, two hundred seventeen thousand, six hundred".