105113205 has 12 divisors (see below), whose sum is σ = 182196300. Its totient is φ = 56060352.

The previous prime is 105113191. The next prime is 105113209. The reversal of 105113205 is 502311501.

It can be written as a sum of positive squares in 2 ways, for example, as 65950641 + 39162564 = 8121^2 + 6258^2 .

It is not a de Polignac number, because 105113205 - 2¹¹ = 105111157 is a prime.

It is a super-2 number, since 2×105113205² = 22097571730744050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167880 + ... + 1167969.

It is an arithmetic number, because the mean of its divisors is an integer number (15183025).

Almost surely, 2^105113205 is an apocalyptic number.

105113205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105113205 is a deficient number, since it is larger than the sum of its proper divisors (77083095).

105113205 is a wasteful number, since it uses less digits than its factorization.

105113205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335860 (or 2335857 counting only the distinct ones).

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

The square root of 105113205 is about 10252.4731162778. The cubic root of 105113205 is about 471.9388820725.

Adding to 105113205 its reverse (502311501), we get a palindrome (607424706).

The spelling of 105113205 in words is "one hundred five million, one hundred thirteen thousand, two hundred five".