105205 has 8 divisors (see below), whose sum is σ = 128952. Its totient is φ = 82368.

The previous prime is 105199. The next prime is 105211. The reversal of 105205 is 502501.

It is an interprime number because it is at equal distance from previous prime (105199) and next prime (105211).

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 78961 = 162^2 + 281^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105205 - 2⁵ = 105173 is a prime.

It is a super-2 number, since 2×105205² = 22136184050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (16119).

2¹⁰⁵²⁰⁵ is an apocalyptic number.

105205 is the 265-th pentagonal number.

It is an amenable number.

105205 is a deficient number, since it is larger than the sum of its proper divisors (23747).

105205 is an equidigital number, since it uses as much as digits as its factorization.

105205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105205 is about 324.3532025432. The cubic root of 105205 is about 47.2076222967.

Adding to 105205 its reverse (502501), we get a palindrome (607706).

The spelling of 105205 in words is "one hundred five thousand, two hundred five".