105513 has 4 divisors (see below), whose sum is σ = 140688. Its totient is φ = 70340.

The previous prime is 105509. The next prime is 105517. The reversal of 105513 is 315501.

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, and also an emirpimes, since its reverse is a distinct semiprime: 315501 = 3 ⋅105167.

It is an interprime number because it is at equal distance from previous prime (105509) and next prime (105517).

It is a cyclic number.

It is not a de Polignac number, because 105513 - 2² = 105509 is a prime.

It is a super-2 number, since 2×105513² = 22265986338, which contains 22 as substring.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 105492 and 105501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105513.

It is not an unprimeable number, because it can be changed into a prime (105517) 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, 17583 + ... + 17588.

It is an arithmetic number, because the mean of its divisors is an integer number (35172).

2¹⁰⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

105513 is a deficient number, since it is larger than the sum of its proper divisors (35175).

105513 is an equidigital number, since it uses as much as digits as its factorization.

105513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35174.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105513 is about 324.8276466066. The cubic root of 105513 is about 47.2536460331.

The spelling of 105513 in words is "one hundred five thousand, five hundred thirteen".