What are my chances getting into boarding school?

Hello,
I am a high school international student. I am currently going to a prestigious boarding school but I want to try for Top boarding schools like Phillips, Groton, Middlesex, and so on. I have 105 for TOEFL, 4.0 GPA, and 99% or 100% SSAT scores. I have one many math contests but I don’t have a lot of experience in sports or volunteering. If I apply for 10th grade this year, do I have a chance to get in?

Can you provide more details about your extracurriculars? And what about recommendations or the essays?