104913952344 has 96 divisors (see below), whose sum is σ = 291692905920. Its totient is φ = 34049691648.

The previous prime is 104913952331. The next prime is 104913952349. The reversal of 104913952344 is 443259319401.

104913952344 is a `hidden beast` number, since 1 + 0 + 4 + 91 + 39 + 523 + 4 + 4 = 666.

It is a super-2 number, since 2×104913952344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104913952344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104913952349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572794 + ... + 733430.

It is an arithmetic number, because the mean of its divisors is an integer number (3038467770).

Almost surely, 2^104913952344 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 104913952344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145846452960).

104913952344 is an abundant number, since it is smaller than the sum of its proper divisors (186778953576).

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

104913952344 is a wasteful number, since it uses less digits than its factorization.

104913952344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160889 (or 160882 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 104913952344 in words is "one hundred four billion, nine hundred thirteen million, nine hundred fifty-two thousand, three hundred forty-four".