1113

1113 = 3 x 7 x 53.

1113 is the number of integer partitions of 40 into distinct parts.

1113 is divisible by the product of its digits (1 x 1 x 1 x 3 = 3).

1113 is the concatenation of two consecutive primes (11 and 13).

The sum of the divisors of 1113 is a cube: 1 + 3 + 7 + 21 + 53 + 159 + 371 + 1113 = 1728 = 12³.

1113 Katja is an asteroid discovered in 1928.

Source: What's Special About This Number?

279

279 = 3² x 31.

279 can be expressed as a prime raised to three consecutive primes: 279 = 3² + 3³ + 3⁵.

279 = (27 x 9) + (27 + 9).

279 is the maximum number of 8th powers needed to sum to any number.

279 is a number that cannot be written as a sum of three squares.

The longer side of a standard "letter-size" sheet of paper in the United States is 11 inches or about 279 millimeters.

Source: Prime Curios!

923

923 = 13 x 71.

923 multiplied by its successor gives a number concatenated with itself: 923 x 924 = 852,852.

923³ = 786,330,467 = (786 - 330 + 467)³.

923 is 32123 in base 4.

Caboose 923 of the Richmond, Fredericksburg & Potomac Railroad was restored by the Chesapeake Railway Association.

Source: What's Special About This Number?

1036

1036 = 2² x 7 x 37.

1036 is 4444 in base 6.

1036 is a divisor of 43⁴ - 1.

1036 is the maximum number of regions into which 45 lines divide the plane.

1036 is the smallest number whose cube starts with four identical digits: 1036³ = 1111934656.

1036 Ganymed is the largest Amor asteroid.

Source: Number Gossip

266

266 = 2 x 7 x 19.

266 is 222 in base 11.

266 is a divisor of 11³ - 1.

The palindromic concatenation reflection of 266 (662266) has a prime factorization with only palindromic factors: 662266 = 2 x 11 x 30103.

2,661,653 = 1653² - 266².

The gestation period for humans is about 266 days.

Source: Prime Curios!

511

511 = 7 x 73.

511 is 111111111 in base 2 (binary). It is 777 in base 8.

511 is a Mersenne number.

511 is the smallest composite number that is the exact average of three consecutive primes (503, 509, and 521): (503 + 509 + 521)/3 = 511.

511 is a number that cannot be written as a sum of three squares.

The telephone number 511 is often used for traffic and travel information.

Source: Number Gossip

106

106 = 2 x 53.

106 has a representation as a sum of two squares: 106 = 5² + 9².

106 is a divisor of 23⁴ - 1.

106 = 25 + 26 + 27 + 28.

15 straight cuts through a pizza can produce as many as 106 pieces.

106 is a centered pentagonal number and a centered heptagonal number.

The sum of the first 106 digits of pi is a prime.

Messier 106 is a bright spiral galaxy in the constellation Canes Venatici.

Source: Prime Curios!