"Το νούμερο μου."
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αριθμόςis the word for number in mathematics and always the correct word : μονοί, ζυγοί αριθμοί/ odd, even numbers etc. Also: αριθμός ταυτότητας/ identification number etc. Ο αριθμός των θυμάτων/ the number of victims. I would not use νούμερο in these cases.
τυχερό νούμερο/ lucky number, νούμερο τηλεφώνου/ phone number and things like that but you can also use αριθμός. Size is νούμερο
I feel like 'numeral' would make a difference here (in this particular case) in English.
Number is a count or a measurement.
Numeral a symbol or name that stands for a number.
The number is our idea, and the numeral is the way of expressing it.
Here, I feel like we are referring to the idea rather than the actual numeral. That is just my opinion though. ^.^