105040213 has 2 divisors, whose sum is σ = 105040214. Its totient is φ = 105040212.

The previous prime is 105040163. The next prime is 105040219. The reversal of 105040213 is 312040501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105001009 + 39204 = 10247^2 + 198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105040213 is a prime.

It is a super-2 number, since 2×105040213² = 22066892694170738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105040219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52520106 + 52520107.

It is an arithmetic number, because the mean of its divisors is an integer number (52520107).

Almost surely, 2^105040213 is an apocalyptic number.

It is an amenable number.

105040213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105040213 is an equidigital number, since it uses as much as digits as its factorization.

105040213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105040213 is about 10248.9127716066. The cubic root of 105040213 is about 471.8296165759.

Adding to 105040213 its reverse (312040501), we get a palindrome (417080714).

The spelling of 105040213 in words is "one hundred five million, forty thousand, two hundred thirteen".