105216313 has 4 divisors (see below), whose sum is σ = 107663248. Its totient is φ = 102769380.

The previous prime is 105216311. The next prime is 105216317. The reversal of 105216313 is 313612501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105216313 - 2¹ = 105216311 is a prime.

It is a super-2 number, since 2×105216313² = 22140945042627938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105216311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1223403 + ... + 1223488.

It is an arithmetic number, because the mean of its divisors is an integer number (26915812).

Almost surely, 2^105216313 is an apocalyptic number.

It is an amenable number.

105216313 is a deficient number, since it is larger than the sum of its proper divisors (2446935).

105216313 is an equidigital number, since it uses as much as digits as its factorization.

105216313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446934.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105216313 is about 10257.5003290275. The cubic root of 105216313 is about 472.0931436045.

Adding to 105216313 its reverse (313612501), we get a palindrome (418828814).

The spelling of 105216313 in words is "one hundred five million, two hundred sixteen thousand, three hundred thirteen".