105511213 has 2 divisors, whose sum is σ = 105511214. Its totient is φ = 105511212.

The previous prime is 105511187. The next prime is 105511223. The reversal of 105511213 is 312115501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66797929 + 38713284 = 8173^2 + 6222^2 .

It is a cyclic number.

It is not a de Polignac number, because 105511213 - 2¹⁷ = 105380141 is a prime.

It is a super-2 number, since 2×105511213² = 22265232137462738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105511223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52755606 + 52755607.

It is an arithmetic number, because the mean of its divisors is an integer number (52755607).

Almost surely, 2^105511213 is an apocalyptic number.

It is an amenable number.

105511213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105511213 is an equidigital number, since it uses as much as digits as its factorization.

105511213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 105511213 is about 10271.8651178839. The cubic root of 105511213 is about 472.5337926430.

Adding to 105511213 its reverse (312115501), we get a palindrome (417626714).

The spelling of 105511213 in words is "one hundred five million, five hundred eleven thousand, two hundred thirteen".