105530313 has 16 divisors (see below), whose sum is σ = 169272320. Its totient is φ = 57128976.

The previous prime is 105530311. The next prime is 105530317. The reversal of 105530313 is 313035501.

It is a happy number.

It is not a de Polignac number, because 105530313 - 2¹ = 105530311 is a prime.

It is a super-2 number, since 2×105530313² = 22273293923755938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105530313.

It is not an unprimeable number, because it can be changed into a prime (105530311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131845 + ... + 132642.

It is an arithmetic number, because the mean of its divisors is an integer number (10579520).

Almost surely, 2^105530313 is an apocalyptic number.

It is an amenable number.

105530313 is a deficient number, since it is larger than the sum of its proper divisors (63742007).

105530313 is a wasteful number, since it uses less digits than its factorization.

105530313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264516.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 105530313 is about 10272.7947998585. The cubic root of 105530313 is about 472.5623041494.

Adding to 105530313 its reverse (313035501), we get a palindrome (418565814).

The spelling of 105530313 in words is "one hundred five million, five hundred thirty thousand, three hundred thirteen".