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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I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

First digits is divisible by 1.
First two digits are divisible by 2.
First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
First six digits are divisible by 6.
First seven digits are divisible by 7.
First eight digits are divisible by 8.
First nine digits are divisible by 9.
The number is divisible by 10.

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I am sometimes honest
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I can be sweet and also bitter
I can hurt you real bad and
also make u smile and blush ☺️
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