104400413304 has 256 divisors, whose sum is σ = 303744591360. Its totient is φ = 29611008000.

The previous prime is 104400413291. The next prime is 104400413317. The reversal of 104400413304 is 403314004401.

It is an interprime number because it is at equal distance from previous prime (104400413291) and next prime (104400413317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29233839 + ... + 29237409.

It is an arithmetic number, because the mean of its divisors is an integer number (1186502310).

Almost surely, 2^104400413304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104400413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151872295680).

104400413304 is an abundant number, since it is smaller than the sum of its proper divisors (199344178056).

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

104400413304 is a wasteful number, since it uses less digits than its factorization.

104400413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 104400413304 its reverse (403314004401), we get a palindrome (507714417705).

The spelling of 104400413304 in words is "one hundred four billion, four hundred million, four hundred thirteen thousand, three hundred four".