36681104 has 20 divisors (see below), whose sum is σ = 75250764. Its totient is φ = 17261568.

The previous prime is 36681061. The next prime is 36681119. The reversal of 36681104 is 40118663.

36681104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14137600 + 22543504 = 3760^2 + 4748^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 67157 + ... + 67700.

Almost surely, 2^36681104 is an apocalyptic number.

36681104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36681104 is an abundant number, since it is smaller than the sum of its proper divisors (38569660).

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

36681104 is a wasteful number, since it uses less digits than its factorization.

36681104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134882 (or 134876 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 36681104 is about 6056.4927144347. The cubic root of 36681104 is about 332.2620952571.

Adding to 36681104 its reverse (40118663), we get a palindrome (76799767).

The spelling of 36681104 in words is "thirty-six million, six hundred eighty-one thousand, one hundred four".