104009318400 has 720 divisors, whose sum is σ = 393178834944. Its totient is φ = 24033361920.

The previous prime is 104009318389. The next prime is 104009318401. The reversal of 104009318400 is 4813900401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (104009318401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271564609 + ... + 271564991.

Almost surely, 2^104009318400 is an apocalyptic number.

104009318400 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 104009318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196589417472).

104009318400 is an abundant number, since it is smaller than the sum of its proper divisors (289169516544).

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

104009318400 is a wasteful number, since it uses less digits than its factorization.

104009318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 104009318400 in words is "one hundred four billion, nine million, three hundred eighteen thousand, four hundred".