105959364196 has 27 divisors (see below), whose sum is σ = 215712268947. Its totient is φ = 45409203000.

The previous prime is 105959364167. The next prime is 105959364233. The reversal of 105959364196 is 691463959501.

It is a happy number.

The square root of 105959364196 is 325514.

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

It is a super-2 number, since 2×105959364196² (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 105959364196.

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 8 ways as a sum of consecutive naturals, for example, 4545571 + ... + 4568821.

Almost surely, 2^105959364196 is an apocalyptic number.

105959364196 is the 325514-th square number.

It is an amenable number.

105959364196 is an abundant number, since it is smaller than the sum of its proper divisors (109752904751).

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

105959364196 is an frugal number, since it uses more digits than its factorization.

105959364196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46520 (or 23260 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 58.

The spelling of 105959364196 in words is "one hundred five billion, nine hundred fifty-nine million, three hundred sixty-four thousand, one hundred ninety-six".