### About the Number 105 (one hundred five)

This Google logo caught MathBabbler's attention on 2 March 2009. Google morphed its logo because on 2 March 1904, `105` years ago, Theodor Seuss Geisel was born. [Dr. Seuss died on 24 September 1991.]

A few days ago, MathBabbler posted a BAB titled "31% and `105`% are Popular Percentages These Days." That BAB prompted the creation of a nBAB for the number 31, which in turn led to the creation of nBABs for the numbers 80, 30, 70, and 2112. He didn't create a nBAB for the number `105`.

```   MathBabbler Number Analyst (MBNA) output:
=========================================
105 is a natural, whole, integer
105 is odd
105 proper divisors are: 1,3,5,7,15,21,35,
105 is deficient (sum of divisors is 87)
105 is unhappy
105 is not a Harshad number
105 is not prime
105 has the prime factors: 3*5*7
105 in octal is 0151
105 in binary is 1101001 (is evil)
105 nearest square numbers: -5...16 (100...121 [11])
sqrt(105) = 10.247
ln(105) = 4.65396
log(105) = 2.02119
105 reciprocal is .00952380952380952380952380952380
105! is 1.0814e+168
105 is 33.4225 Pi years
105 is 5 score and 5 years
105 written as a Roman numeral is CV
```

`105` is the product of three consecutive prime numbers (3 * 5 * 7).

`[Wikipedia]` `105` = 7!! (double factorial).

The song "`105`" by Smash Mouth was added to Songs With Numbers In Their Titles.

The Dr. Seuss books "How the Grinch Stole Christmas" and "The Cat in the Hat" were published in 1957 (MathBabbler's birth year), which resulted in an update to the nBAB About the Number 1957.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 02 March 2009