105793193 has 16 divisors (see below), whose sum is σ = 124809984. Its totient is φ = 88584960.

The previous prime is 105793151. The next prime is 105793213. The reversal of 105793193 is 391397501.

It is not a de Polignac number, because 105793193 - 2⁸ = 105792937 is a prime.

It is a super-2 number, since 2×105793193² = 22384399370270498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105793393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771 + ... + 14807.

It is an arithmetic number, because the mean of its divisors is an integer number (7800624).

Almost surely, 2^105793193 is an apocalyptic number.

It is an amenable number.

105793193 is a deficient number, since it is larger than the sum of its proper divisors (19016791).

105793193 is a wasteful number, since it uses less digits than its factorization.

105793193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112.

The product of its (nonzero) digits is 25515, while the sum is 38.

The square root of 105793193 is about 10285.5818017261. The cubic root of 105793193 is about 472.9543689694.

The spelling of 105793193 in words is "one hundred five million, seven hundred ninety-three thousand, one hundred ninety-three".