105314242593 has 24 divisors (see below), whose sum is σ = 166426524288. Its totient is φ = 59044099296.

The previous prime is 105314242571. The next prime is 105314242601. The reversal of 105314242593 is 395242413501.

It is a de Polignac number, because none of the positive numbers 2^k-105314242593 is a prime.

It is a super-2 number, since 2×105314242593² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105314242513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6750921 + ... + 6766502.

It is an arithmetic number, because the mean of its divisors is an integer number (6934438512).

Almost surely, 2^105314242593 is an apocalyptic number.

It is an amenable number.

105314242593 is a deficient number, since it is larger than the sum of its proper divisors (61112281695).

105314242593 is a wasteful number, since it uses less digits than its factorization.

105314242593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13517493 (or 13517486 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 105314242593 in words is "one hundred five billion, three hundred fourteen million, two hundred forty-two thousand, five hundred ninety-three".