105852209 has 2 divisors, whose sum is σ = 105852210. Its totient is φ = 105852208.

The previous prime is 105852203. The next prime is 105852221. The reversal of 105852209 is 902258501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91259809 + 14592400 = 9553^2 + 3820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105852209 is a prime.

It is a super-2 number, since 2×105852209² = 22409380300359362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105852203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52926104 + 52926105.

It is an arithmetic number, because the mean of its divisors is an integer number (52926105).

Almost surely, 2^105852209 is an apocalyptic number.

It is an amenable number.

105852209 is a deficient number, since it is larger than the sum of its proper divisors (1).

105852209 is an equidigital number, since it uses as much as digits as its factorization.

105852209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105852209 is about 10288.4502720283. The cubic root of 105852209 is about 473.0422973944.

The spelling of 105852209 in words is "one hundred five million, eight hundred fifty-two thousand, two hundred nine".