66616100 has 36 divisors (see below), whose sum is σ = 145238100. Its totient is φ = 26520960.

The previous prime is 66616097. The next prime is 66616127. The reversal of 66616100 is 161666.

It can be written as a sum of positive squares in 6 ways, for example, as 6770404 + 59845696 = 2602^2 + 7736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66616100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21446 + ... + 24354.

Almost surely, 2^66616100 is an apocalyptic number.

It is an amenable number.

66616100 is an abundant number, since it is smaller than the sum of its proper divisors (78622000).

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

66616100 is a wasteful number, since it uses less digits than its factorization.

66616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 66616100 is about 8161.8686585855. The cubic root of 66616100 is about 405.3775882135.

Adding to 66616100 its reverse (161666), we get a palindrome (66777766).

The spelling of 66616100 in words is "sixty-six million, six hundred sixteen thousand, one hundred".