36100 has 27 divisors (see below), whose sum is σ = 82677. Its totient is φ = 13680.

The previous prime is 36097. The next prime is 36107. The reversal of 36100 is 163.

36100 = T₁₈₉ + T₁₉₀.

36100 = 1³ + 2³ + ... + 19³.

The square root of 36100 is 190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 23104 = 114^2 + 152^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (36107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1891 + ... + 1909.

2³⁶¹⁰⁰ is an apocalyptic number.

36100 is the 190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36100

36100 is an abundant number, since it is smaller than the sum of its proper divisors (46577).

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

36100 is a wasteful number, since it uses less digits than its factorization.

36100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The cubic root of 36100 is about 33.0498176243.

Adding to 36100 its reverse (163), we get a palindrome (36263).

Subtracting from 36100 its reverse (163), we obtain a cube (35937 = 33³).

It can be divided in two parts, 36 and 100, that added together give a triangular number (136 = T₁₆).

The spelling of 36100 in words is "thirty-six thousand, one hundred".