104818841264 has 160 divisors (see below), whose sum is σ = 232257134592. Its totient is φ = 45573120000.

The previous prime is 104818841263. The next prime is 104818841269. The reversal of 104818841264 is 462148818401.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (104818841263) 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 31 ways as a sum of consecutive naturals, for example, 16245239 + ... + 16251689.

Almost surely, 2^104818841264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104818841264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116128567296).

104818841264 is an abundant number, since it is smaller than the sum of its proper divisors (127438293328).

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

104818841264 is a wasteful number, since it uses less digits than its factorization.

104818841264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

The spelling of 104818841264 in words is "one hundred four billion, eight hundred eighteen million, eight hundred forty-one thousand, two hundred sixty-four".