104

Number
$104$ (one hundred and four) is:


 * $2^3 \times 13$


 * The $4$th primitive abundant number after $20, 70, 88$:
 * $1 + 2 + 4 + 8 + 13 + 26 + 52 = 106 > 104$


 * The $5$th primitive semiperfect number after $6, 20, 28, 88$:
 * $104 = 1 + 4 + 8 + 13 + 26 + 52$


 * The $1$st of the $2$nd ordered quadruple of consecutive integers that have sigma values which are strictly decreasing:
 * $\sigma \left({104}\right) = 210, \ \sigma \left({105}\right) = 192, \ \sigma \left({106}\right) = 162, \ \sigma \left({107}\right) = 108$


 * The $4$th positive integer solution after $1, 3, 15$ to $\phi \left({n}\right) = \phi \left({n + 1}\right)$:
 * $\phi \left({104}\right) = 48 = \phi \left({105}\right)$


 * The $20$th positive integer $n$ after $5, 11, 17, 23, 29, 30, 36, 42, 48, 54, 60, 61, 67, 73, 79, 85, 91, 92, 98$ such that no factorial of an integer can end with $n$ zeroes.