104930833037184 has 192 divisors, whose sum is σ = 376456398065280. Its totient is φ = 27254761804800.

The previous prime is 104930833037167. The next prime is 104930833037189. The reversal of 104930833037184 is 481730338039401.

104930833037184 is a `hidden beast` number, since 1 + 0 + 4 + 93 + 0 + 83 + 30 + 371 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×104930833037184² (a number of 29 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 104930833037184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104930833037189) 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, 591377482 + ... + 591554889.

It is an arithmetic number, because the mean of its divisors is an integer number (1960710406590).

Almost surely, 2^{104930833037184} is an apocalyptic number.

104930833037184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104930833037184 is an abundant number, since it is smaller than the sum of its proper divisors (271525565028096).

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

104930833037184 is a wasteful number, since it uses less digits than its factorization.

104930833037184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182932409 (or 1182932394 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 104930833037184 in words is "one hundred four trillion, nine hundred thirty billion, eight hundred thirty-three million, thirty-seven thousand, one hundred eighty-four".