110

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Number

$110$ (one hundred and ten) is:

$2 \times 5 \times 11$

The $4$th positive integer after $1$, $7$, $102$ the divisor sum is a cube:

$\map {\sigma_1} {110} = 216 = 6^3$

It is also the $3$rd such, after $1$, $102$, whose divisor count is also a cube:

$\map {\sigma_0} {110} = 8 = 2^3$

The $8$th sphenic number after $30$, $42$, $66$, $70$, $78$, $102$, $105$:

$110 = 2 \times 5 \times 11$

The $21$st positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.

Arithmetic Functions on $110$

\(\ds \map {\sigma_0} { 110 }\)

\(=\)

\(\ds 8\)

$\sigma_0$ of $110$

\(\ds \map {\sigma_1} { 110 }\)

\(=\)

\(\ds 216\)

$\sigma_1$ of $110$

Also see

• Previous  ... Next: Integers whose Divisor Sum is Cube
• Previous  ... Next: Numbers of Zeroes that Factorial does not end with
• Previous  ... Next: Sphenic Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $110$