is it possible for the sender not to have my name in there contacts... and just typed my number?..
It is possible for the recipent not to have your name for your number in their address book for your contact info, but the recipent must do that.
So does that mean just my number will show when i send a text to the person using an android phone?
If the recipient does not have your name with your phone number in their address book for your contact info.
Have you ever received a text from a phone number that is not in your address book? If so, what do you see? You should see the phone number only. The same applies for someone you are sending a text to.