**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

short review by broll)

broil: ..10a+b=ab+a+b, from which 10a = ab+a, and 10=b+1; and 10a=9a+a, which is true for any a.

Ady: So **b=9** and **a** could be any digit. Right!

broil: ... over 100, cute is not well-defined

Ady: Let's attach the adjective **cute** to all numbers equaling the sum of their digits augmented by the digits' product.