104313033216 has 240 divisors, whose sum is σ = 353365281984. Its totient is φ = 28997885952.

The previous prime is 104313033211. The next prime is 104313033229. The reversal of 104313033216 is 612330313401.

104313033216 is a `hidden beast` number, since 1 + 0 + 4 + 31 + 303 + 321 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104313033216.

It is not an unprimeable number, because it can be changed into a prime (104313033211) 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 23 ways as a sum of consecutive naturals, for example, 1149771 + ... + 1237173.

Almost surely, 2^104313033216 is an apocalyptic number.

104313033216 is a gapful number since it is divisible by the number (16) 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 104313033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176682640992).

104313033216 is an abundant number, since it is smaller than the sum of its proper divisors (249052248768).

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

104313033216 is an equidigital number, since it uses as much as digits as its factorization.

104313033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87471 (or 87452 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 104313033216 its reverse (612330313401), we get a palindrome (716643346617).

The spelling of 104313033216 in words is "one hundred four billion, three hundred thirteen million, thirty-three thousand, two hundred sixteen".