## Christiaan Huygens was born on this day 388 years ago.

### Properties of the number 85106:

85106 = 2 × 7 × 6079 is a sphenic number and squarefree.85106 has 3 distinct prime factors, 8 divisors, 5 antidivisors and 36468 totatives.

85106 has an oblong digit sum 20 in base 10.

Reversing the decimal digits of 85106 results in a sphenic number.

85106 is the sum of 2 positive triangular numbers.

85106 = 20

^{2}+ 59

^{2}+ 285

^{2}is the sum of 3 positive squares.

85106

^{2}is the sum of 3 positive squares.

85106 is a divisor of 1553

^{6}- 1.

85106 = '85' + '106' is the concatenation of 2 semiprime numbers.

85106 is palindromic in (at least) the following bases: 88, and -65.

### The number 85106 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A008488: Expansion of (1-x^6) / (1-x)^6.

A120478: Binomial(n+6,5)-binomial(n,5).

A155326: Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 3,1 4,0 5,1 polyhexes in any orientation on a planar nXnXn triangular grid.

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