101536 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 47808.

The previous prime is 101533. The next prime is 101537. The reversal of 101536 is 635101.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 525 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁰¹⁵³⁶ is an apocalyptic number.

101536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

101536 is an abundant number, since it is smaller than the sum of its proper divisors (110144).

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

101536 is a wasteful number, since it uses less digits than its factorization.

101536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 101536 is about 318.6471402665. The cubic root of 101536 is about 46.6523311977.

Adding to 101536 its reverse (635101), we get a palindrome (736637).

The spelling of 101536 in words is "one hundred one thousand, five hundred thirty-six".