105105105

105105105 is a nine-digit integer in base-10. It can be read as the block 105 repeated three times and equals 105 × 1,001,001. The decimal representation is 105,105,105.

Mathematical properties include its divisibility and factorization. The sum of its digits is 18, so the number is divisible by 3 and by 9. It ends with a 5, so it is divisible by 5, and since 105 contains a factor 7, the number is also divisible by 7. The full prime factorization can be written as 3^2 × 5 × 7 × 333,667, with 333,667 not divisible by small primes up to 61, suggesting it is prime or has larger prime factors. Consequently, 105105105 is divisible by 63, 105, 45, 35, 21, and other multiples of these factors.

Pattern and usage provide additional context. The digits form a repeating block “105,” making the number a simple example of concatenating identical segments. It does not correspond to a widely known constant or named sequence, but it can appear in puzzles, programming exercises, or demonstrations of factorization and divisibility properties of large integers.

See also: basic number theory concepts such as divisibility rules, prime factorization, and concatenation of numeric blocks.