what is most special about a given integer?

[David W. Wilson]

104: 104 matchsticks can be laid in a plane so that 4 touch at each vertex.  No
smaller number is known to suffice.

11: 277777788888899 survives 11 rounds of multiplying its digits together before
reaching a single digit.  No
number seems to be able to withstand more.

11: The first non-Mersenne prime

11: Half of the first 64 partition numbers are divisible by 11.

14: The smallest number of squares that can be placed so that each touches 3
others at more than a point.

196: Smallest number that apparently never reaches a palindrome when repeatedly
added to its reverse.