104896800 has 216 divisors, whose sum is σ = 392107716. Its totient is φ = 26296320.

The previous prime is 104896789. The next prime is 104896801. The reversal of 104896800 is 8698401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 78641424 + 26255376 = 8868^2 + 5124^2 .

It is a super-2 number, since 2×104896800² = 22006677300480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104896801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121972 + ... + 122828.

Almost surely, 2^104896800 is an apocalyptic number.

104896800 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 104896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196053858).

104896800 is an abundant number, since it is smaller than the sum of its proper divisors (287210916).

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

104896800 is a wasteful number, since it uses less digits than its factorization.

104896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 104896800 is about 10241.9138836450. The cubic root of 104896800 is about 471.6147867261.

The spelling of 104896800 in words is "one hundred four million, eight hundred ninety-six thousand, eight hundred".