104930914338 has 96 divisors (see below), whose sum is σ = 242934681600. Its totient is φ = 32637103200.

The previous prime is 104930914331. The next prime is 104930914379. The reversal of 104930914338 is 833419039401.

104930914338 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 309 + 1 + 4 + 338 = 666.

It is a super-2 number, since 2×104930914338² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104930914293 and 104930914302.

It is not an unprimeable number, because it can be changed into a prime (104930914331) 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 47 ways as a sum of consecutive naturals, for example, 11640253 + ... + 11649263.

It is an arithmetic number, because the mean of its divisors is an integer number (2530569600).

Almost surely, 2^104930914338 is an apocalyptic number.

104930914338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104930914338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121467340800).

104930914338 is an abundant number, since it is smaller than the sum of its proper divisors (138003767262).

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

104930914338 is a wasteful number, since it uses less digits than its factorization.

104930914338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 104930914338 in words is "one hundred four billion, nine hundred thirty million, nine hundred fourteen thousand, three hundred thirty-eight".