114

Number
$114$ (one hundred and fourteen) is:


 * $2 \times 3 \times 19$


 * The number of different ways to colour the faces of a cube with $3$ given colours, one colour per face.


 * The $9$th sphenic number after $30$, $42$, $66$, $70$, $78$, $102$, $105$, $110$:
 * $114 = 2 \times 3 \times 19$


 * The smallest positive integer which can be expressed as the sum of $2$ odd primes in $10$ ways.


 * The $14$th nontotient after $14$, $26$, $34$, $38$, $50$, $62$, $68$, $74$, $76$, $86$, $90$, $94$, $98$:
 * $\nexists m \in \Z_{>0}: \map \phi m = 114$
 * where $\map \phi m$ denotes the Euler $\phi$ function


 * The $54$th (strictly) positive integer after $1$, $2$, $3$, $\ldots$, $77$, $78$, $79$, $84$, $90$, $91$, $95$, $96$, $102$, $108$ which cannot be expressed as the sum of distinct primes of the form $6 n - 1$

Also see

 * Number of Different Ways to Colour the Faces of Cube with 3 Colours‎