100280

100,280 is the positive integer that follows 100,279 and precedes 100,281. It is an even, composite number. Its prime factorization is 2^3 × 5 × 23 × 109, which implies it has 32 positive divisors (calculated as (3+1)(1+1)(1+1)(1+1)).

The sum of its divisors is 237,600, computed from the product of the corresponding divisor-sum factors for each prime: 15 × 6 × 24 × 110. Because this sum exceeds 2 × 100,280, the number is abundant. It is divisible by 40, and therefore by 2, 4, 5, 8, 10, 20, and 40.

In terms of representability as a sum of two squares, 100,280 cannot be expressed in that form. This stems from its prime factor 23, which is congruent to 3 modulo 4 and appears with an odd exponent in the factorization.

In common numerical bases, 100,280 corresponds to 0x187B8 in hexadecimal. The digits of the decimal representation sum to 11, giving a digital sum that is not a multiple of 3. The number lies between 2^16 (65,536) and 2^17 (131,072), situating it firmly in the mid-range of six-figure integers. Overall, 100,280 is a richly structured composite number with multiple divisors, an abundant nature, and notable modular properties.