Prime Curios!: 108

108
(another Prime Pages' Curiosity)

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108 = 2² * 3³ (the product of the first two primes raised to themselves). [Sladcik]

The difference between the smallest (136) and second smallest (244) sums of squares (a^2 + b^2) where both a and b have more than one prime factor. [Hunter]

108 can be written as the sum of a cube and a square (a^3 + b^2) in two ways. This is the first number with this property. [Hunter]

The concatenation of 108 with its previous and next number is prime, i.e., 108107 and 108109 are primes. [Bopardikar]