108036 has 18 divisors (see below), whose sum is σ = 273182. Its totient is φ = 36000.

The previous prime is 108023. The next prime is 108037. The reversal of 108036 is 630801.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 14400 = 306^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108036.

It is not an unprimeable number, because it can be changed into a prime (108037) by changing a digit.

108036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1465 + ... + 1536.

2¹⁰⁸⁰³⁶ is an apocalyptic number.

It is an amenable number.

108036 is an abundant number, since it is smaller than the sum of its proper divisors (165146).

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

108036 is a wasteful number, since it uses less digits than its factorization.

108036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 108036 is about 328.6883021953. The cubic root of 108036 is about 47.6273223081.

Adding to 108036 its reverse (630801), we get a palindrome (738837).

The spelling of 108036 in words is "one hundred eight thousand, thirty-six".