105645213 has 12 divisors (see below), whose sum is σ = 152700288. Its totient is φ = 70383240.

The previous prime is 105645203. The next prime is 105645217. The reversal of 105645213 is 312546501.

105645213 is a `hidden beast` number, since 1 + 0 + 5 + 645 + 2 + 13 = 666.

It is not a de Polignac number, because 105645213 - 2⁵ = 105645181 is a prime.

It is a super-2 number, since 2×105645213² = 22321822059630738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105645217) 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, 15348 + ... + 21138.

It is an arithmetic number, because the mean of its divisors is an integer number (12725024).

Almost surely, 2^105645213 is an apocalyptic number.

It is an amenable number.

105645213 is a deficient number, since it is larger than the sum of its proper divisors (47055075).

105645213 is a wasteful number, since it uses less digits than its factorization.

105645213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7821 counting only the distinct ones).

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

The square root of 105645213 is about 10278.3857195573. The cubic root of 105645213 is about 472.7337484578.

The spelling of 105645213 in words is "one hundred five million, six hundred forty-five thousand, two hundred thirteen".