さとし と Purpose of とafter this name?

さとし と
Purpose of とafter this name?

〜と言います is a common way to introduce oneself/someone. と is the particle usually used with 言う.
In this case さとしと言います=“He is called Satoshi”/“His name is Satoshi”

Edit: Should also add that, と申します is a humble/polite way to introduce oneself.