104115334400 has 432 divisors, whose sum is σ = 329190680448. Its totient is φ = 31653888000.

The previous prime is 104115334399. The next prime is 104115334423. The reversal of 104115334400 is 4433511401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104115334400.

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, 20202224 + ... + 20207376.

It is an arithmetic number, because the mean of its divisors is an integer number (762015464).

Almost surely, 2^104115334400 is an apocalyptic number.

104115334400 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 104115334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164595340224).

104115334400 is an abundant number, since it is smaller than the sum of its proper divisors (225075346048).

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

104115334400 is a wasteful number, since it uses less digits than its factorization.

104115334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 104115334400 its reverse (4433511401), we get a palindrome (108548845801).

The spelling of 104115334400 in words is "one hundred four billion, one hundred fifteen million, three hundred thirty-four thousand, four hundred".