Is it not cute?
Let's attach the adjective cute
to all numbers equaling the sum of their digit augmented by the digits' product.
List all the cute numbers below 100.
Are there cute numbers bigger thann 100?
(In reply to re(2): short review.....augmented
My remark was addressed to broll's remark regarding lack of definition.
BTW, no need to check all the numbers over 100.
Take a 3-digit number L=100a+10b+c and compare it to R=abc+a+b+c
it is very easy to show that L is always bigger than R for any triplet of digits a, b, c. So there are no cute numbers over 99.