105838 has 4 divisors (see below), whose sum is σ = 158760. Its totient is φ = 52918.

The previous prime is 105829. The next prime is 105863. The reversal of 105838 is 838501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 838501 = 503 ⋅1667.

It is a super-2 number, since 2×105838² = 22403364488, 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 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 as a sum of consecutive naturals, namely, 26458 + ... + 26461.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2¹⁰⁵⁸³⁸ is an apocalyptic number.

105838 is a deficient number, since it is larger than the sum of its proper divisors (52922).

105838 is an equidigital number, since it uses as much as digits as its factorization.

105838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52921.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 105838 is about 325.3275272706. The cubic root of 105838 is about 47.3021130276.

It can be divided in two parts, 1058 and 38, that multiplied together give a palindrome (40204).

The spelling of 105838 in words is "one hundred five thousand, eight hundred thirty-eight".