105317213 has 2 divisors, whose sum is σ = 105317214. Its totient is φ = 105317212.

The previous prime is 105317189. The next prime is 105317231. The reversal of 105317213 is 312713501.

Together with next prime (105317231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62047129 + 43270084 = 7877^2 + 6578^2 .

It is a cyclic number.

It is not a de Polignac number, because 105317213 - 2¹⁴ = 105300829 is a prime.

It is a super-2 number, since 2×105317213² = 22183430708174738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105317273) 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 as a sum of consecutive naturals, namely, 52658606 + 52658607.

It is an arithmetic number, because the mean of its divisors is an integer number (52658607).

Almost surely, 2^105317213 is an apocalyptic number.

It is an amenable number.

105317213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105317213 is an equidigital number, since it uses as much as digits as its factorization.

105317213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 105317213 is about 10262.4175027135. The cubic root of 105317213 is about 472.2440041769.

The spelling of 105317213 in words is "one hundred five million, three hundred seventeen thousand, two hundred thirteen".