104854400 has 192 divisors, whose sum is σ = 307599360. Its totient is φ = 34560000.

The previous prime is 104854367. The next prime is 104854417. The reversal of 104854400 is 4458401.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104854400.

It is a congruent number.

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, 694325 + ... + 694475.

It is an arithmetic number, because the mean of its divisors is an integer number (1602080).

Almost surely, 2^104854400 is an apocalyptic number.

104854400 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 104854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153799680).

104854400 is an abundant number, since it is smaller than the sum of its proper divisors (202744960).

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

104854400 is a wasteful number, since it uses less digits than its factorization.

104854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 104854400 is about 10239.8437488079. The cubic root of 104854400 is about 471.5512348612.

The spelling of 104854400 in words is "one hundred four million, eight hundred fifty-four thousand, four hundred".