105205266 has 24 divisors (see below), whose sum is σ = 237856320. Its totient is φ = 33543576.

The previous prime is 105205249. The next prime is 105205267. The reversal of 105205266 is 662502501.

It is a super-2 number, since 2×105205266² = 22136295988261512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105205267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126646 + ... + 127473.

It is an arithmetic number, because the mean of its divisors is an integer number (9910680).

Almost surely, 2^105205266 is an apocalyptic number.

105205266 is an abundant number, since it is smaller than the sum of its proper divisors (132651054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105205266 is a wasteful number, since it uses less digits than its factorization.

105205266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254150 (or 254147 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105205266 is about 10256.9618308737. The cubic root of 105205266 is about 472.0766208324.

Adding to 105205266 its reverse (662502501), we get a palindrome (767707767).

The spelling of 105205266 in words is "one hundred five million, two hundred five thousand, two hundred sixty-six".