104856800 has 36 divisors (see below), whose sum is σ = 255983616. Its totient is φ = 41942400.

The previous prime is 104856797. The next prime is 104856811. The reversal of 104856800 is 8658401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64736 + ... + 66335.

It is an arithmetic number, because the mean of its divisors is an integer number (7110656).

Almost surely, 2^104856800 is an apocalyptic number.

104856800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104856800 is an abundant number, since it is smaller than the sum of its proper divisors (151126816).

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

104856800 is a wasteful number, since it uses less digits than its factorization.

104856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131091 (or 131078 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 104856800 is about 10239.9609374255. The cubic root of 104856800 is about 471.5548325939.

The spelling of 104856800 in words is "one hundred four million, eight hundred fifty-six thousand, eight hundred".