90100

90100 is a natural number that follows 90099 and precedes 90101. In arithmetic it is an even, composite number with several notable factorization properties.

Its prime factorization is 2^2 × 5^2 × 17 × 53, which makes it a product of small primes. Because of this factorization, 90100 has 36 positive divisors. The number is not a perfect square or cube since some of its prime exponents are odd.

A simple consequence of its factorization is that 90100 is divisible by 100, since it contains 2^2 and 5^2. Dividing by 100 yields 901, which factors further as 17 × 53. The radical of 90100, the product of its distinct prime factors, is 2 × 5 × 17 × 53 = 9010. The totient function value is φ(90100) = 32,280? or 33,280 depending on calculation; the correct value from the factorization 2^2 × 5^2 × 17 × 53 gives φ(90100) = 33,280.

In different representations, 90100 is written in base-10 as 90100. In other numeral systems, such as binary or hexadecimal, it has a specific but less common representation. In mathematical discussions, 90100 is often cited as an example of a composite number with multiple small prime factors, illustrating divisor-counting and factorization concepts.

Outside pure mathematics, 90100 may appear as a numeric identifier, code, or part of a larger dataset, but without specific context it is treated primarily as a natural number with the properties described above.