105238 has 8 divisors (see below), whose sum is σ = 180432. Its totient is φ = 45096.

The previous prime is 105229. The next prime is 105239. The reversal of 105238 is 832501.

It is a happy number.

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

It is a super-2 number, since 2×105238² = 22150073288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105239) 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, 3745 + ... + 3772.

It is an arithmetic number, because the mean of its divisors is an integer number (22554).

2¹⁰⁵²³⁸ is an apocalyptic number.

105238 is a deficient number, since it is larger than the sum of its proper divisors (75194).

105238 is an equidigital number, since it uses as much as digits as its factorization.

105238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105238 is about 324.4040690250. The cubic root of 105238 is about 47.2125577044.

Adding to 105238 its reverse (832501), we get a palindrome (937739).

It can be divided in two parts, 105 and 238, that added together give a palindrome (343).

The spelling of 105238 in words is "one hundred five thousand, two hundred thirty-eight".