101728 has 36 divisors (see below), whose sum is σ = 232092. Its totient is φ = 43520.

The previous prime is 101723. The next prime is 101737. The reversal of 101728 is 827101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101723) by changing a digit.

101728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5976 + ... + 5992.

It is an arithmetic number, because the mean of its divisors is an integer number (6447).

2¹⁰¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116046).

101728 is an abundant number, since it is smaller than the sum of its proper divisors (130364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101728 is a wasteful number, since it uses less digits than its factorization.

101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 101728 is about 318.9482716680. The cubic root of 101728 is about 46.6817185007.

Adding to 101728 its reverse (827101), we get a palindrome (928829).

The spelling of 101728 in words is "one hundred one thousand, seven hundred twenty-eight".