100

Number
$100$ is:


 * $2^2 \times 5^2$


 * The $10$th square number after $1, 4, 9, 16, 25, 36, 49, 64, 81$:
 * $100 = 10 \times 10$


 * The sum of the first $4$ cubes:
 * $100 = 1^3 + 2^3 + 3^3 + 4^3$


 * The $14$th powerful number after $1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 72, 81$


 * The $8$th noncototient after $10, 26, 34, 50, 52, 58, 86$:
 * $\nexists m \in \Z_{>0}: m - \phi \left({m}\right) = 100$
 * where $\phi \left({m}\right)$ denotes the Euler $\phi$ function


 * The $23$rd semiperfect number after $6, 12, 18, 20, 24, 28, 30, 36, 40, 42, 48, 54, 56, 60, 66, 72, 78, 80, 84, 88, 90, 96$:
 * $100 = 5 + 20 + 25 + 50$


 * The $20$th happy number after $1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, 68, 70, 79, 82, 86, 91, 94, 97$:
 * $100 \to 1^2 + 0^2 + 0^2 = 1$

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