106

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Number

$106$ (one hundred and six) is:

$2 \times 53$

The $34$th semiprime:

$106 = 2 \times 53$

The $2$nd of the $1$st ordered triple of consecutive integers that have Euler $\phi$ values which are strictly increasing:

$\map \phi {105} = 48$, $\map \phi {106} = 52$, $\map \phi {107} = 106$

The $3$rd of the $2$nd ordered quadruple of consecutive integers that have divisor sums which are strictly decreasing:

$\map {\sigma_1} {104} = 210, \ \map {\sigma_1} {105} = 192, \ \map {\sigma_1} {106} = 162, \ \map {\sigma_1} {107} = 108$

Also see

• Previous  ... Next: Sequences of 4 Consecutive Integers with Falling Divisor Sum
• Previous  ... Next: Sequences of 3 Consecutive Integers with Rising Phi

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