I Am Special, Too!

15 Points Per Correct Answer - No time limit  

1. I am the smallest positive integer that can be divided completely by 2, 4, 6, 8 and 10. What number am I? Answer: (3-digit number)

2. I am the sum of the smallest two-digit prime number and the greatest two-digit square number. What number am I? Answer: (2-digit number)

3. The smallest three-digit palindromic square number is 121. I am the second smallest number with such properties. My first digit is 4 and the sum of all my three digits is 16. What number am I? Answer: (3-digit number)

4. The sum of my two digits is the same as the product of my two digits. I am a multiple of 11. What number am I? Answer: (2-digit number)

5. The numbers 4 and 6 are the first two numbers that are the averages (or the means) of two consecutive prime numbers that differ by 2. I am the third number that has the same properties. What number am I? Answer: (2-digit number)

6. I am the smallest square number that is the sum of two different cube numbers. What number am I? Answer: (1-digit number)

7. I am the remainder of a! / b!, where a and b are any positive integers with a > b. Here, a! means a factorial. What number am I? Answer: (1-digit number)

8. The smallest number that is neither prime nor even is 1. I am the second number with these properties. What number am I? Answer: (1-digit number)

9. The first four Fibonacci numbers that are also prime are 2, 3, 5 and 13. I am the next prime Fibonacci number. What number am I? Answer: (2-digit number)

10. I am the smallest positive integer that has the following properties. When I am divided by 2, the remainder is 1. When I am divided by 3, the remainder is 2. When I am divided by 4, the remainder is 3. What number am I? Answer: (2-digit number)