104822400 has 192 divisors, whose sum is σ = 352879200. Its totient is φ = 27340800.

The previous prime is 104822381. The next prime is 104822407. The reversal of 104822400 is 4228401.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (104822407) 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, 585511 + ... + 585689.

Almost surely, 2^104822400 is an apocalyptic number.

104822400 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 104822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176439600).

104822400 is an abundant number, since it is smaller than the sum of its proper divisors (248056800).

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

104822400 is a wasteful number, since it uses less digits than its factorization.

104822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 104822400 is about 10238.2811057325. The cubic root of 104822400 is about 471.5032598443.

The spelling of 104822400 in words is "one hundred four million, eight hundred twenty-two thousand, four hundred".