105935213 has 2 divisors, whose sum is σ = 105935214. Its totient is φ = 105935212.

The previous prime is 105935197. The next prime is 105935233. The reversal of 105935213 is 312539501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90592324 + 15342889 = 9518^2 + 3917^2 .

It is an emirp because it is prime and its reverse (312539501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105935213 - 2⁴ = 105935197 is a prime.

It is a super-2 number, since 2×105935213² = 22444538706710738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105935233) 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, 52967606 + 52967607.

It is an arithmetic number, because the mean of its divisors is an integer number (52967607).

Almost surely, 2^105935213 is an apocalyptic number.

It is an amenable number.

105935213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105935213 is an equidigital number, since it uses as much as digits as its factorization.

105935213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 105935213 is about 10292.4833252233. The cubic root of 105935213 is about 473.1659104477.

The spelling of 105935213 in words is "one hundred five million, nine hundred thirty-five thousand, two hundred thirteen".