105715338191 has 16 divisors (see below), whose sum is σ = 110622145920. Its totient is φ = 100940605920.

The previous prime is 105715338149. The next prime is 105715338199. The reversal of 105715338191 is 191833517501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105715338191 is a prime.

It is a super-2 number, since 2×105715338191² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105715338199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303920 + ... + 551178.

It is an arithmetic number, because the mean of its divisors is an integer number (6913884120).

Almost surely, 2^105715338191 is an apocalyptic number.

105715338191 is a deficient number, since it is larger than the sum of its proper divisors (4906807729).

105715338191 is a wasteful number, since it uses less digits than its factorization.

105715338191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247526.

The product of its (nonzero) digits is 113400, while the sum is 44.

The spelling of 105715338191 in words is "one hundred five billion, seven hundred fifteen million, three hundred thirty-eight thousand, one hundred ninety-one".