# 'Tis the season!

I am thinking of some number $$n$$.

On subtracting the sum of digits of number $$n$$ from $$n$$, I get some number $$s$$.

Here are the digits of $$s$$ (in no specific order) -

$1, 0, 1, 7, 7, 2, 6, 9, 7, 7$

However, one digit is missing. Which digit is missing?

Details and Assumptions

• Sum of digit refers to the digital sum of a number. For eg, sum of digits of 1997 is $$1 + 9 + 9 + 7 = 26$$.

• $$s = n - \text{sum of digits of n}$$

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