80100

80100 is a natural number that follows 80099 and precedes 80101. In mathematics, it is notable as an even, composite number with a decimal representation that ends in two zeros.

Its prime factorization is 80100 = 2^2 × 3^2 × 5^2 × 89. This factorization explains its divisibility: it is divisible by 4, 9, 25, 100, and by any combination of these factors. The exponents yield a total of 54 positive divisors, since the number of divisors is (2+1) × (2+1) × (2+1) × (1+1) = 3 × 3 × 3 × 2 = 54.

The sum of all divisors (the sigma function) is sigma(80100) = 7 × 13 × 31 × 90 = 253,890. The sum of proper divisors (excluding the number itself) is 253,890 − 80,100 = 173,790. Because the sum of proper divisors exceeds the number, 80100 is classified as an abundant number.

In other bases, 80100 has the representations: hexadecimal 0x138E4, octal 234344, and binary 10011100011100100.

In broader use, 80100 may appear as a decimal value in various contexts such as measurements, identifiers, or dataset labels. It does not have a single universally recognized meaning beyond its mathematical properties, but its status as a highly composite, abundant number can be noted among numeric classifications.