104938484935680 has 3168 divisors, whose sum is σ = 443863672971264. Its totient is φ = 22799056896000.

The previous prime is 104938484935673. The next prime is 104938484935681. The reversal of 104938484935680 is 86539484839401.

104938484935680 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 3 + 8 + 4 + 8 + 493 + 56 + 80 = 666.

104938484935680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×104938484935680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 104938484935599 and 104938484935608.

It is not an unprimeable number, because it can be changed into a prime (104938484935681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 208625218309 + ... + 208625218811.

Almost surely, 2^{104938484935680} is an apocalyptic number.

104938484935680 is a gapful number since it is divisible by the number (10) 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 104938484935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221931836485632).

104938484935680 is an abundant number, since it is smaller than the sum of its proper divisors (338925188035584).

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

104938484935680 is a wasteful number, since it uses less digits than its factorization.

104938484935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 104938484935680 in words is "one hundred four trillion, nine hundred thirty-eight billion, four hundred eighty-four million, nine hundred thirty-five thousand, six hundred eighty".