101728

101,728 is a natural number. It is an even, composite number. Its prime factorization is 101,728 = 2^5 × 11 × 17^2, equivalently 101,728 = 32 × 3179, and 3179 itself factors as 11 × 17^2.

The number has 36 positive divisors, arising from the exponents in the prime factorization (5, 1, 2). The sum of all divisors is 232,092, which makes the sum of proper divisors equal to 130,364. Since the sum of its proper divisors exceeds the number itself, 101,728 is classified as an abundant number.

101,728 is not a perfect square, as its prime factorization includes odd exponents (2^5 and 11^1), which means not all exponents are even. The digits of 101,728 sum to 19, and the number is not divisible by 19, so it is not a Harshad (Niven) number.

As a composite number with a mixed prime-factor composition, 101,728 serves as a representative example in number theory for illustrating abundant numbers and divisor structure.