105997127184 has 135 divisors (see below), whose sum is σ = 321372846093. Its totient is φ = 32598873216.

The previous prime is 105997127149. The next prime is 105997127213. The reversal of 105997127184 is 481721799501.

The square root of 105997127184 is 325572.

It is a perfect power (a square), and thus also a powerful number.

105997127184 is a `hidden beast` number, since 10 + 599 + 7 + 1 + 27 + 18 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15680048400 + 90317078784 = 125220^2 + 300528^2 .

It is a super-2 number, since 2×105997127184² (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 105997127184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50788189 + ... + 50790275.

Almost surely, 2^105997127184 is an apocalyptic number.

105997127184 is the 325572-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105997127184

105997127184 is an abundant number, since it is smaller than the sum of its proper divisors (215375718909).

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

105997127184 is an equidigital number, since it uses as much as digits as its factorization.

105997127184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 105997127184 in words is "one hundred five billion, nine hundred ninety-seven million, one hundred twenty-seven thousand, one hundred eighty-four".