check-divisibility-by-digit-sum-and-product

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Algorithms

You are given a positive integer <code>n</code>. Determine whether <code>n</code> is divisible by the sum of the following two values:

<ul>
	<li>
	The digit sum of <code>n</code> (the sum of its digits).
	</li>
	<li>
	The digit product of <code>n</code> (the product of its digits).
	</li>
</ul>

Return <code>true</code> if <code>n</code> is divisible by this sum; otherwise, return <code>false</code>.

&nbsp;
Example 1:

<div class="example-block">
Input: n = 99

Output: true

Explanation:

Since 99 is divisible by the sum (9 + 9 = 18) plus product (9 * 9 = 81) of its digits (total 99), the output is true.
</div>

Example 2:

<div class="example-block">
Input: n = 23

Output: false

Explanation:

Since 23 is not divisible by the sum (2 + 3 = 5) plus product (2 * 3 = 6) of its digits (total 11), the output is false.
</div>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= n &lt;= 106</code></li>
</ul>