101532 has 12 divisors (see below), whose sum is σ = 236936. Its totient is φ = 33840.

The previous prime is 101531. The next prime is 101533. The reversal of 101532 is 235101.

It is an interprime number because it is at equal distance from previous prime (101531) and next prime (101533).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8461 = 101532 / (1 + 0 + 1 + 5 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4219 + ... + 4242.

2¹⁰¹⁵³² is an apocalyptic number.

101532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101532 is an abundant number, since it is smaller than the sum of its proper divisors (135404).

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

101532 is a wasteful number, since it uses less digits than its factorization.

101532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 101532 is about 318.6408636694. The cubic root of 101532 is about 46.6517185684.

Adding to 101532 its reverse (235101), we get a palindrome (336633).

The spelling of 101532 in words is "one hundred one thousand, five hundred thirty-two".