**39=3*9+3+9**
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 by Charlie)

Absolutely true.

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

L=99a+9b+a+b+c R=abc+a+b+c

L'=99a+9b R'=abc

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.