104697600 has 432 divisors, whose sum is σ = 425806080. Its totient is φ = 22118400.

The previous prime is 104697599. The next prime is 104697601. The reversal of 104697600 is 6796401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104697599) and next prime (104697601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104697601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553580 + ... + 2553620.

Almost surely, 2^104697600 is an apocalyptic number.

104697600 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 104697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040).

104697600 is an abundant number, since it is smaller than the sum of its proper divisors (321108480).

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

104697600 is a wasteful number, since it uses less digits than its factorization.

104697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 104697600 is about 10232.1845174919. The cubic root of 104697600 is about 471.3160639299.

The spelling of 104697600 in words is "one hundred four million, six hundred ninety-seven thousand, six hundred".