104826400 has 72 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 35938560.

The previous prime is 104826367. The next prime is 104826413. The reversal of 104826400 is 4628401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3760 + ... + 14959.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^104826400 is an apocalyptic number.

104826400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104826400 is an abundant number, since it is smaller than the sum of its proper divisors (187654880).

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

104826400 is a wasteful number, since it uses less digits than its factorization.

104826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18746 (or 18733 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 104826400 is about 10238.4764491598. The cubic root of 104826400 is about 471.5092572553.

The spelling of 104826400 in words is "one hundred four million, eight hundred twenty-six thousand, four hundred".