105795012393 has 96 divisors (see below), whose sum is σ = 185369000960. Its totient is φ = 56797614720.

The previous prime is 105795012347. The next prime is 105795012403. The reversal of 105795012393 is 393210597501.

105795012393 is a `hidden beast` number, since 1 + 0 + 57 + 9 + 501 + 2 + 3 + 93 = 666.

It is not a de Polignac number, because 105795012393 - 2³⁴ = 88615143209 is a prime.

It is a super-2 number, since 2×105795012393² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105795012593) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94206930 + ... + 94208052.

Almost surely, 2^105795012393 is an apocalyptic number.

It is an amenable number.

105795012393 is a deficient number, since it is larger than the sum of its proper divisors (79573988567).

105795012393 is a wasteful number, since it uses less digits than its factorization.

105795012393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 105795012393 in words is "one hundred five billion, seven hundred ninety-five million, twelve thousand, three hundred ninety-three".