105353917216 has 96 divisors (see below), whose sum is σ = 226084763520. Its totient is φ = 48124440576.

The previous prime is 105353917187. The next prime is 105353917321. The reversal of 105353917216 is 612719353501.

It is a super-2 number, since 2×105353917216² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8830231 + ... + 8842153.

It is an arithmetic number, because the mean of its divisors is an integer number (2355049620).

Almost surely, 2^105353917216 is an apocalyptic number.

105353917216 is a gapful number since it is divisible by the number (16) 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 105353917216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113042381760).

105353917216 is an abundant number, since it is smaller than the sum of its proper divisors (120730846304).

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

105353917216 is a wasteful number, since it uses less digits than its factorization.

105353917216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12426 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 43.

The spelling of 105353917216 in words is "one hundred five billion, three hundred fifty-three million, nine hundred seventeen thousand, two hundred sixteen".