105793213 has 2 divisors, whose sum is σ = 105793214. Its totient is φ = 105793212.

The previous prime is 105793151. The next prime is 105793223. The reversal of 105793213 is 312397501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105411289 + 381924 = 10267^2 + 618^2 .

It is a cyclic number.

It is not a de Polignac number, because 105793213 - 2²⁵ = 72238781 is a prime.

It is a super-2 number, since 2×105793213² = 22384407833726738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105793223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52896606 + 52896607.

It is an arithmetic number, because the mean of its divisors is an integer number (52896607).

Almost surely, 2^105793213 is an apocalyptic number.

It is an amenable number.

105793213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105793213 is an equidigital number, since it uses as much as digits as its factorization.

105793213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 105793213 is about 10285.5827739608. The cubic root of 105793213 is about 472.9543987731.

The spelling of 105793213 in words is "one hundred five million, seven hundred ninety-three thousand, two hundred thirteen".