105438 has 8 divisors (see below), whose sum is σ = 210888. Its totient is φ = 35144.

The previous prime is 105437. The next prime is 105449. The reversal of 105438 is 834501.

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

105438 is an admirable number.

It is a super-2 number, since 2×105438² = 22234343688, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105438.

It is not an unprimeable number, because it can be changed into a prime (105437) 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, 8781 + ... + 8792.

It is an arithmetic number, because the mean of its divisors is an integer number (26361).

2¹⁰⁵⁴³⁸ is an apocalyptic number.

105438 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105438 is a wasteful number, since it uses less digits than its factorization.

105438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17578.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105438 is about 324.7121802458. The cubic root of 105438 is about 47.2424472125.

Adding to 105438 its reverse (834501), we get a palindrome (939939).

The spelling of 105438 in words is "one hundred five thousand, four hundred thirty-eight".