105038 has 8 divisors (see below), whose sum is σ = 163080. Its totient is φ = 50680.

The previous prime is 105037. The next prime is 105071. The reversal of 105038 is 830501.

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

It is a super-2 number, since 2×105038² = 22065962888, 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 (105031) 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, 848 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (20385).

2¹⁰⁵⁰³⁸ is an apocalyptic number.

105038 is a deficient number, since it is larger than the sum of its proper divisors (58042).

105038 is a wasteful number, since it uses less digits than its factorization.

105038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105038 is about 324.0956648892. The cubic root of 105038 is about 47.1826303031.

Adding to 105038 its reverse (830501), we get a palindrome (935539).

The spelling of 105038 in words is "one hundred five thousand, thirty-eight".