104933404368 has 300 divisors, whose sum is σ = 338012977764. Its totient is φ = 31240857600.

The previous prime is 104933404361. The next prime is 104933404403. The reversal of 104933404368 is 863404339401.

It can be written as a sum of positive squares in 2 ways, for example, as 61381053504 + 43552350864 = 247752^2 + 208692^2 .

It is a super-2 number, since 2×104933404368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104933404361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16187688 + ... + 16194168.

Almost surely, 2^104933404368 is an apocalyptic number.

104933404368 is a gapful number since it is divisible by the number (18) 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 104933404368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169006488882).

104933404368 is an abundant number, since it is smaller than the sum of its proper divisors (233079573396).

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

104933404368 is a wasteful number, since it uses less digits than its factorization.

104933404368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 104933404368 in words is "one hundred four billion, nine hundred thirty-three million, four hundred four thousand, three hundred sixty-eight".