105211 has 2 divisors, whose sum is σ = 105212. Its totient is φ = 105210.

The previous prime is 105199. The next prime is 105227. The reversal of 105211 is 112501.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (112501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105211 is a prime.

It is a super-2 number, since 2×105211² = 22138709042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52605 + 52606.

It is an arithmetic number, because the mean of its divisors is an integer number (52606).

2¹⁰⁵²¹¹ is an apocalyptic number.

105211 is a deficient number, since it is larger than the sum of its proper divisors (1).

105211 is an equidigital number, since it uses as much as digits as its factorization.

105211 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 105211 is about 324.3624515877. The cubic root of 105211 is about 47.2085197203.

Adding to 105211 its reverse (112501), we get a palindrome (217712).

It can be divided in two parts, 105 and 211, that multiplied together give a triangular number (22155 = T₂₁₀).

The spelling of 105211 in words is "one hundred five thousand, two hundred eleven".