104774400 has 324 divisors, whose sum is σ = 400333752. Its totient is φ = 26050560.

The previous prime is 104774353. The next prime is 104774413. The reversal of 104774400 is 4477401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979147 + ... + 979253.

It is an arithmetic number, because the mean of its divisors is an integer number (1235598).

Almost surely, 2^104774400 is an apocalyptic number.

104774400 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 104774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200166876).

104774400 is an abundant number, since it is smaller than the sum of its proper divisors (295559352).

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

104774400 is a wasteful number, since it uses less digits than its factorization.

104774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 104774400 is about 10235.9366938253. The cubic root of 104774400 is about 471.4312790085.

The spelling of 104774400 in words is "one hundred four million, seven hundred seventy-four thousand, four hundred".