105231213 has 12 divisors (see below), whose sum is σ = 152172540. Its totient is φ = 70074816.

The previous prime is 105231211. The next prime is 105231281. The reversal of 105231213 is 312132501.

It can be written as a sum of positive squares in 2 ways, for example, as 76265289 + 28965924 = 8733^2 + 5382^2 .

It is not a de Polignac number, because 105231213 - 2¹ = 105231211 is a prime.

It is a super-2 number, since 2×105231213² = 22147216378902738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105231211) 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, 2443 + ... + 14711.

It is an arithmetic number, because the mean of its divisors is an integer number (12681045).

Almost surely, 2^105231213 is an apocalyptic number.

It is an amenable number.

105231213 is a deficient number, since it is larger than the sum of its proper divisors (46941327).

105231213 is a wasteful number, since it uses less digits than its factorization.

105231213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105231213 is about 10258.2266011236. The cubic root of 105231213 is about 472.1154273982.

Adding to 105231213 its reverse (312132501), we get a palindrome (417363714).

The spelling of 105231213 in words is "one hundred five million, two hundred thirty-one thousand, two hundred thirteen".