105633213 has 16 divisors (see below), whose sum is σ = 166158336. Its totient is φ = 58414320.

The previous prime is 105633169. The next prime is 105633233. The reversal of 105633213 is 312336501.

It is a happy number.

It is not a de Polignac number, because 105633213 - 2⁶ = 105633149 is a prime.

It is a super-2 number, since 2×105633213² = 22316751377406738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105633233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80481 + ... + 81782.

It is an arithmetic number, because the mean of its divisors is an integer number (10384896).

Almost surely, 2^105633213 is an apocalyptic number.

It is an amenable number.

105633213 is a deficient number, since it is larger than the sum of its proper divisors (60525123).

105633213 is a wasteful number, since it uses less digits than its factorization.

105633213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162304.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 105633213 is about 10277.8019537253. The cubic root of 105633213 is about 472.7158488621.

Adding to 105633213 its reverse (312336501), we get a palindrome (417969714).

The spelling of 105633213 in words is "one hundred five million, six hundred thirty-three thousand, two hundred thirteen".