105738 has 8 divisors (see below), whose sum is σ = 211488. Its totient is φ = 35244.

The previous prime is 105733. The next prime is 105751. The reversal of 105738 is 837501.

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

105738 is an admirable number.

It is a super-2 number, since 2×105738² = 22361049288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105733) 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, 8806 + ... + 8817.

It is an arithmetic number, because the mean of its divisors is an integer number (26436).

2¹⁰⁵⁷³⁸ is an apocalyptic number.

105738 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.

105738 is a wasteful number, since it uses less digits than its factorization.

105738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17628.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105738 is about 325.1737996826. The cubic root of 105738 is about 47.2872106867.

The spelling of 105738 in words is "one hundred five thousand, seven hundred thirty-eight".