3622. Check Divisibility by Digit Sum and Product

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

• The digit sum of n (the sum of its digits).
• The digit product of n (the product of its digits).

Return true if n is divisible by this sum; otherwise, return false.

Example 1

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.

Example 2

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.

Constraints

• 1 <= n <= 10^6