There exists a number, uniquely as far as I can tell, that has the following property:
Its digits are summed in pairs in all possible combinations.
These pairwise sums are then all multiplied together.
The resulting product is the original number.
Can you find this special number?
For example, if the number was 125, the pairwise sums would be 1+2=3, 1+5=6, 2+5=7. The product would then be 3x6x7=126. But since this isn’t equal to 125, this is merely a near miss and not the number we are looking for.
