36642100 has 36 divisors (see below), whose sum is σ = 86744448. Its totient is φ = 13324000.

The previous prime is 36642097. The next prime is 36642107. The reversal of 36642100 is 124663.

36642100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36642107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15556 + ... + 17755.

It is an arithmetic number, because the mean of its divisors is an integer number (2409568).

Almost surely, 2^36642100 is an apocalyptic number.

It is an amenable number.

36642100 is an abundant number, since it is smaller than the sum of its proper divisors (50102348).

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

36642100 is a wasteful number, since it uses less digits than its factorization.

36642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336 (or 33329 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 36642100 is about 6053.2718425658. The cubic root of 36642100 is about 332.1442857632.

Adding to 36642100 its reverse (124663), we get a palindrome (36766763).

The spelling of 36642100 in words is "thirty-six million, six hundred forty-two thousand, one hundred".