105915098916 has 81 divisors (see below), whose sum is σ = 294341244379. Its totient is φ = 32088975600.

The previous prime is 105915098897. The next prime is 105915098957. The reversal of 105915098916 is 619890519501.

The square root of 105915098916 is 325446.

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

105915098916 is a `hidden beast` number, since 1 + 0 + 59 + 1 + 509 + 89 + 1 + 6 = 666.

It is a super-2 number, since 2×105915098916² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21476971 + ... + 21481901.

Almost surely, 2^105915098916 is an apocalyptic number.

105915098916 is the 325446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105915098916

105915098916 is an abundant number, since it is smaller than the sum of its proper divisors (188426145463).

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

105915098916 is an equidigital number, since it uses as much as digits as its factorization.

105915098916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 105915098916 in words is "one hundred five billion, nine hundred fifteen million, ninety-eight thousand, nine hundred sixteen".