105336218856 has 128 divisors (see below), whose sum is σ = 304316559360. Its totient is φ = 30028876800.

The previous prime is 105336218809. The next prime is 105336218863. The reversal of 105336218856 is 658812633501.

It is a super-2 number, since 2×105336218856² (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 31 ways as a sum of consecutive naturals, for example, 14209791 + ... + 14217201.

It is an arithmetic number, because the mean of its divisors is an integer number (2377473120).

Almost surely, 2^105336218856 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 105336218856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152158279680).

105336218856 is an abundant number, since it is smaller than the sum of its proper divisors (198980340504).

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

105336218856 is a wasteful number, since it uses less digits than its factorization.

105336218856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 105336218856 in words is "one hundred five billion, three hundred thirty-six million, two hundred eighteen thousand, eight hundred fifty-six".