If you use the word "and" in naming numbers above 100, then, for example, 999 is named "nine hundred and ninety-nine". Considering this as four words, one of them hyphenated, the letter counts in the four words are 4, 7, 3 and 10. The product of these four numbers is 840.

There is one 3-digit number such that if you apply the above procedure, the final product of its four word lengths is the same as the original number. What is that number?

(In reply to spoiler by pcbouhid)

Pcbouhid!  Nearly a forgotten name in this precinct!
Glad to be aware of your continued presence.

Posted by brianjn on 2010-07-31 04:52:08