105338726160 has 40 divisors (see below), whose sum is σ = 326550051840. Its totient is φ = 28090326912.

The previous prime is 105338726123. The next prime is 105338726167. The reversal of 105338726160 is 61627833501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105338726160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105338726167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219455440 + ... + 219455919.

It is an arithmetic number, because the mean of its divisors is an integer number (8163751296).

Almost surely, 2^105338726160 is an apocalyptic number.

105338726160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105338726160 is an abundant number, since it is smaller than the sum of its proper divisors (221211325680).

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

105338726160 is a wasteful number, since it uses less digits than its factorization.

105338726160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438911375 (or 438911369 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 105338726160 in words is "one hundred five billion, three hundred thirty-eight million, seven hundred twenty-six thousand, one hundred sixty".