7. (5 points) This year is 2017, the sum of the digits of the year is 10, then within this century, the sum of all years whose digit sum is 10

保留源文本的换行和格式，翻译结果如下：

7. (5 points) This year is 2017, the sum of the digits of the year is 10, then within this century, the sum of all years whose digit sum is 10
【Analysis】According to the problem, find the numbers between 2000 and 2100 whose digits sum to 10, and then add them up. Since the hundreds digit of these numbers is 0, we can start from the tens place.
【Solution】Solution: According to the analysis, in the numbers from $2000 \sim 2100$, since the thousands digit is 2 and the hundreds digit is 0, the sum of the tens and units digits must equal 8. Therefore, the numbers that meet the condition are:
2008, 2017, 2026, 2035, 2044, 2053, 2062, 2071, 2080;
The sum is: $2008+2017+2026+2035+2044+2053+2062+2071+2080=18396$.
Therefore, the answer is: 18396.