101528 has 32 divisors (see below), whose sum is σ = 228000. Its totient is φ = 42336.

The previous prime is 101527. The next prime is 101531. The reversal of 101528 is 825101.

101528 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2726 + ... + 2762.

It is an arithmetic number, because the mean of its divisors is an integer number (7125).

2¹⁰¹⁵²⁸ 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 101528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114000).

101528 is an abundant number, since it is smaller than the sum of its proper divisors (126472).

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

101528 is an equidigital number, since it uses as much as digits as its factorization.

101528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 101528 is about 318.6345869487. The cubic root of 101528 is about 46.6511059230.

Adding to 101528 its reverse (825101), we get a palindrome (926629).

The spelling of 101528 in words is "one hundred one thousand, five hundred twenty-eight".