105258 has 16 divisors (see below), whose sum is σ = 215136. Its totient is φ = 34320.

The previous prime is 105253. The next prime is 105263. The reversal of 105258 is 852501.

It is an interprime number because it is at equal distance from previous prime (105253) and next prime (105263).

It is a super-2 number, since 2×105258² = 22158493128, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105258.

It is not an unprimeable number, because it can be changed into a prime (105251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (13446).

2¹⁰⁵²⁵⁸ is an apocalyptic number.

105258 is an abundant number, since it is smaller than the sum of its proper divisors (109878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105258 is a wasteful number, since it uses less digits than its factorization.

105258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105258 is about 324.4348933145. The cubic root of 105258 is about 47.2155483584.

Adding to 105258 its reverse (852501), we get a palindrome (957759).

It can be divided in two parts, 1052 and 58, that multiplied together give a palindrome (61016).

The spelling of 105258 in words is "one hundred five thousand, two hundred fifty-eight".