66112100 has 18 divisors (see below), whose sum is σ = 143463474. Its totient is φ = 26444800.

The previous prime is 66112091. The next prime is 66112103. The reversal of 66112100 is 121166.

It is a happy number.

66112100 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 3 ways, for example, as 5053504 + 61058596 = 2248^2 + 7814^2 .

It is not an unprimeable number, because it can be changed into a prime (66112103) 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 5 ways as a sum of consecutive naturals, for example, 330461 + ... + 330660.

It is an arithmetic number, because the mean of its divisors is an integer number (7970193).

Almost surely, 2^66112100 is an apocalyptic number.

It is an amenable number.

66112100 is an abundant number, since it is smaller than the sum of its proper divisors (77351374).

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

66112100 is a wasteful number, since it uses less digits than its factorization.

66112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661135 (or 661128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 66112100 is about 8130.9347556108. The cubic root of 66112100 is about 404.3526721450.

Adding to 66112100 its reverse (121166), we get a palindrome (66233266).

The spelling of 66112100 in words is "sixty-six million, one hundred twelve thousand, one hundred".