Where I can learn some techniques of number theory which I can use in competetive programming?
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Solving problem is a really good way i think...
You can use CodeForces Number Theory tag and also Project Euler have some problems that a lot of them are math or number theories....
Also this page is good I think...Wish help you
(UP: you can google that page's subjects easily and learn about them)
I am not very good in number theory but these are important : - find out number n is prime or not and diviosrs of number n O(sqrt(n)) - find prime numbers less than number n - calculate pow(a,b) in O(logb) - calculate a/b mod p
these are the most useful things in number theory i guess