104304121112400 has 240 divisors, whose sum is σ = 364729365112320. Its totient is φ = 25269623283200.

The previous prime is 104304121112333. The next prime is 104304121112437. The reversal of 104304121112400 is 4211121403401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 18044539 + ... + 23113061.

It is an arithmetic number, because the mean of its divisors is an integer number (1519705687968).

Almost surely, 2^{104304121112400} is an apocalyptic number.

104304121112400 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 104304121112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182364682556160).

104304121112400 is an abundant number, since it is smaller than the sum of its proper divisors (260425243999920).

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

104304121112400 is a wasteful number, since it uses less digits than its factorization.

104304121112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070114 (or 5070103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 104304121112400 its reverse (4211121403401), we get a palindrome (108515242515801).

The spelling of 104304121112400 in words is "one hundred four trillion, three hundred four billion, one hundred twenty-one million, one hundred twelve thousand, four hundred".