105305211 has 24 divisors (see below), whose sum is σ = 171484880. Its totient is φ = 63819360.

The previous prime is 105305197. The next prime is 105305269. The reversal of 105305211 is 112503501.

It is not a de Polignac number, because 105305211 - 2⁹ = 105304699 is a prime.

It is a super-2 number, since 2×105305211² = 22178374927509042, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105305281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12850 + ... + 19383.

Almost surely, 2^105305211 is an apocalyptic number.

105305211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105305211 is a deficient number, since it is larger than the sum of its proper divisors (66179669).

105305211 is a wasteful number, since it uses less digits than its factorization.

105305211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32264 (or 32247 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105305211 is about 10261.8327310476. The cubic root of 105305211 is about 472.2260644445.

Adding to 105305211 its reverse (112503501), we get a palindrome (217808712).

The spelling of 105305211 in words is "one hundred five million, three hundred five thousand, two hundred eleven".