105205339 has 4 divisors (see below), whose sum is σ = 105256840. Its totient is φ = 105153840.

The previous prime is 105205313. The next prime is 105205349. The reversal of 105205339 is 933502501.

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

It is a cyclic number.

It is not a de Polignac number, because 105205339 - 2⁵ = 105205307 is a prime.

It is a super-3 number, since 3×105205339³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105205349) 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, 22554 + ... + 26815.

It is an arithmetic number, because the mean of its divisors is an integer number (26314210).

Almost surely, 2^105205339 is an apocalyptic number.

105205339 is a deficient number, since it is larger than the sum of its proper divisors (51501).

105205339 is an equidigital number, since it uses as much as digits as its factorization.

105205339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51500.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 105205339 is about 10256.9653894317. The cubic root of 105205339 is about 472.0767300208.

The spelling of 105205339 in words is "one hundred five million, two hundred five thousand, three hundred thirty-nine".