100536 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 32480.

The previous prime is 100523. The next prime is 100537. The reversal of 100536 is 635001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100537) 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, 1381 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁰⁰⁵³⁶ 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 100536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

100536 is an abundant number, since it is smaller than the sum of its proper divisors (158664).

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

100536 is a wasteful number, since it uses less digits than its factorization.

100536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100536 is about 317.0741238260. The cubic root of 100536 is about 46.4986703285.

Adding to 100536 its reverse (635001), we get a palindrome (735537).

It can be divided in two parts, 100 and 536, that added together give a palindrome (636).

The spelling of 100536 in words is "one hundred thousand, five hundred thirty-six".