160

Number
$160$ (one hundred and sixty) is:
 * $2^5 \times 5$


 * The $3$rd of the $4$ cubic recurring digital invariants after $55, 136$:
 * $160 \to 217 \to 352 \to 160$


 * The $5$th positive integer after $64$, $96$, $128$, $144$ with $6$ or more prime factors:
 * $160 = 2 \times 2 \times 2 \times 2 \times 2 \times 5$


 * The $14$th integer $n$ after $3$, $4$, $5$, $6$, $7$, $8$, $10$, $15$, $19$, $41$, $59$, $61$, $105$ such that $m = \displaystyle \sum_{k \mathop = 0}^{n - 1} \paren {-1}^k \paren {n - k}! = n! - \paren {n - 1}! + \paren {n - 2}! - \paren {n - 3}! + \cdots \pm 1$ is prime