105305 has 4 divisors (see below), whose sum is σ = 126372. Its totient is φ = 84240.

The previous prime is 105277. The next prime is 105319. The reversal of 105305 is 503501.

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 80656 + 24649 = 284^2 + 157^2 .

It is not a de Polignac number, because 105305 - 2¹⁰ = 104281 is a prime.

It is a super-2 number, since 2×105305² = 22178286050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105305.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10526 + ... + 10535.

It is an arithmetic number, because the mean of its divisors is an integer number (31593).

2¹⁰⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

105305 is a deficient number, since it is larger than the sum of its proper divisors (21067).

105305 is an equidigital number, since it uses as much as digits as its factorization.

105305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21066.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 105305 is about 324.5073188697. The cubic root of 105305 is about 47.2225749045. Note that the first 3 decimals are identical.

Adding to 105305 its reverse (503501), we get a palindrome (608806).

It can be divided in two parts, 10530 and 5, that multiplied together give a triangular number (52650 = T₃₂₄).

The spelling of 105305 in words is "one hundred five thousand, three hundred five".