If the six-digit \overline{abcabc} has exactly 16 positive divisors, what is the minimum value of such \overline{abcabc}?
若六位数\overline{abcabc}恰有16个正约数，这样的\overline{abcabc}的最小值是多少．
<gadget id="calculator">1_001 * 101</gadget>
<output>101_101</output>

<result>101_101</result>