Sliding Numbers

A positive integer $n$ is a sliding number if the positive integers, $x$ , $y$ and $k$ , can be written as $\large x + y = n$ and $\large \frac{1}{x}+\frac{1}{y}=\frac{n}{10^{k}}$

Note: The number $\frac{n}{10^{k}}$ is $n$ "shifted" by some $k \geq 0$ decimal places.

For example, 25 is a sliding number since 20 + 5 = 25 and 1/20 + 1/5 = 25/100.

What is the first sliding positive integer with 5 trailing zeros ?