112

Number
$112$ (one hundred and twelve) is:


 * $2^4 \times 7$


 * The $7$th heptagonal number after $1, 7, 18, 34, 55, 81$:
 * $112 = 1 + 7 + 11 + 16 + 21 + 26 + 31 = \dfrac {7 \left({5 \times 7 - 3}\right)} 2$


 * The length of the side of the smallest perfect square dissection of an integer square.


 * The side length of the smallest equilateral triangle with sides of integer length which contains a point which is an integer distance from each vertex.

Also see

 * Smallest Perfect Square Dissection
 * Smallest Equilateral Triangle with Internal Point at Integer Distances from Vertices