105532313 has 4 divisors (see below), whose sum is σ = 105635508. Its totient is φ = 105429120.

The previous prime is 105532267. The next prime is 105532331. The reversal of 105532313 is 313235501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 102981904 + 2550409 = 10148^2 + 1597^2 .

It is a cyclic number.

It is not a de Polignac number, because 105532313 - 2¹² = 105528217 is a prime.

It is a super-2 number, since 2×105532313² = 22274138174259938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105532393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50048 + ... + 52113.

It is an arithmetic number, because the mean of its divisors is an integer number (26408877).

Almost surely, 2^105532313 is an apocalyptic number.

It is an amenable number.

105532313 is a deficient number, since it is larger than the sum of its proper divisors (103195).

105532313 is a wasteful number, since it uses less digits than its factorization.

105532313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103194.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105532313 is about 10272.8921438902. The cubic root of 105532313 is about 472.5652894485.

Adding to 105532313 its reverse (313235501), we get a palindrome (418767814).

The spelling of 105532313 in words is "one hundred five million, five hundred thirty-two thousand, three hundred thirteen".