103536 has 30 divisors (see below), whose sum is σ = 290160. Its totient is φ = 34464.

The previous prime is 103529. The next prime is 103549. The reversal of 103536 is 635301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable 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, 216 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2¹⁰³⁵³⁶ is an apocalyptic number.

103536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103536 is an abundant number, since it is smaller than the sum of its proper divisors (186624).

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

103536 is a wasteful number, since it uses less digits than its factorization.

103536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 103536 is about 321.7701042670. The cubic root of 103536 is about 46.9566523525.

Adding to 103536 its reverse (635301), we get a palindrome (738837).

The spelling of 103536 in words is "one hundred three thousand, five hundred thirty-six".