105492704844384 has 864 divisors, whose sum is σ = 361081094486112. Its totient is φ = 29014054502400.

The previous prime is 105492704844361. The next prime is 105492704844479. The reversal of 105492704844384 is 483448407294501.

105492704844384 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 2 + 70 + 48 + 443 + 84 = 666.

105492704844384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105492704844384² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17999093614 + ... + 17999099474.

It is an arithmetic number, because the mean of its divisors is an integer number (417917933433).

Almost surely, 2^{105492704844384} 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 105492704844384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180540547243056).

105492704844384 is an abundant number, since it is smaller than the sum of its proper divisors (255588389641728).

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

105492704844384 is a wasteful number, since it uses less digits than its factorization.

105492704844384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 105492704844384 in words is "one hundred five trillion, four hundred ninety-two billion, seven hundred four million, eight hundred forty-four thousand, three hundred eighty-four".