105347213 has 2 divisors, whose sum is σ = 105347214. Its totient is φ = 105347212.

The previous prime is 105347167. The next prime is 105347233. The reversal of 105347213 is 312743501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98446084 + 6901129 = 9922^2 + 2627^2 .

It is a cyclic number.

It is not a de Polignac number, because 105347213 - 2⁶ = 105347149 is a prime.

It is a super-2 number, since 2×105347213² = 22196070573734738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105347233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52673606 + 52673607.

It is an arithmetic number, because the mean of its divisors is an integer number (52673607).

Almost surely, 2^105347213 is an apocalyptic number.

It is an amenable number.

105347213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105347213 is an equidigital number, since it uses as much as digits as its factorization.

105347213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 105347213 is about 10263.8790425453. The cubic root of 105347213 is about 472.2888400738.

The spelling of 105347213 in words is "one hundred five million, three hundred forty-seven thousand, two hundred thirteen".