105258339 has 16 divisors (see below), whose sum is σ = 165111840. Its totient is φ = 66044160.

The previous prime is 105258337. The next prime is 105258341. The reversal of 105258339 is 933852501.

It is an interprime number because it is at equal distance from previous prime (105258337) and next prime (105258341).

It is not a de Polignac number, because 105258339 - 2¹ = 105258337 is a prime.

It is a super-2 number, since 2×105258339² = 22158635858077842, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105258337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114202 + ... + 115119.

It is an arithmetic number, because the mean of its divisors is an integer number (10319490).

Almost surely, 2^105258339 is an apocalyptic number.

105258339 is a deficient number, since it is larger than the sum of its proper divisors (59853501).

105258339 is a wasteful number, since it uses less digits than its factorization.

105258339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229347 (or 229341 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105258339 is about 10259.5486742839. The cubic root of 105258339 is about 472.1559904671.

The spelling of 105258339 in words is "one hundred five million, two hundred fifty-eight thousand, three hundred thirty-nine".