104459416320 has 288 divisors, whose sum is σ = 382059901440. Its totient is φ = 23827415040.

The previous prime is 104459416283. The next prime is 104459416337. The reversal of 104459416320 is 23614954401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14000751 + ... + 14008209.

It is an arithmetic number, because the mean of its divisors is an integer number (1326596880).

Almost surely, 2^104459416320 is an apocalyptic number.

104459416320 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 104459416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191029950720).

104459416320 is an abundant number, since it is smaller than the sum of its proper divisors (277600485120).

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

104459416320 is an equidigital number, since it uses as much as digits as its factorization.

104459416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 104459416320 in words is "one hundred four billion, four hundred fifty-nine million, four hundred sixteen thousand, three hundred twenty".