Sum of Product is me

When I get multiplied by any number, the sum of the figures in the product is always me. What am I?




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Based on similar logic, Can you prove that the below algebraic equation is true?
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You are driving down the road in your car on a wild, stormy night, when you pass by a bus stop and you see three people waiting for the bus

An old lady looks as if she is about to die.
An old friend who once saved your life.
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I am 5 letters long.
My first two tell you who I am
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My last three reversed could be a young boy.
My 4th, 3rd and 2nd in that order could be a fruit drink.
If you have me you may hang me round your neck
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Edward James went for tiger hunting.

It was not his lucky day.



He got six tigers without heads, nine tigers without the tail and eight cut in two halves.

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