Seeing 10:06 on the Clock Every Day

Your instincts are good. Yes, it's most likely because 10 and 6 are the numbers of your birthday.

Numbers that have personal meaning or emotional significance are the number most likely to be seen and remembered having been seen.

Especially the remembering part. A person sees many different numbers during the day. It's the meaningful or significant numbers that are remembered as being seen. Why You Start Seeing Certain Numbers Again and Again provides more information.

By the way, this year your power number begins to become more forceful. When next year comes around, it's likely to be fully developed. The power number represents energy that's with a person during the later half of a person's life.

Your power number is the number 3. Both your personality and life path numbers also are the number 3, so the power number won't be bringing in much change in type of energy, as it would if the power number was something other than the major numbers of your numerology chart. The energy represented by 3, however, will be enhanced — because the power vibration is in addition to what you already had.