Explanation:

- To check if 106974 is divisible by 2, look at the last digit. It is 4, which is even, so it's divisible by 2.

- For divisibility by 3, sum the digits: 1+0+6+9+7+4 = 27. 27 is divisible by 3, hence 106974 is as well.

- To check divisibility by 6, the number must be divisible by both 2 and 3. Since 106974 is divisible by both, it's divisible by 6.

- For divisibility by 7, divide 106974 by 7 and get an integer. 106974 ÷ 7 = 15282, so it's divisible by 7.

Option 1: 2, 3, 6, and 7 only -