6566010100 has 72 divisors (see below), whose sum is σ = 16011475200. Its totient is φ = 2318954880.

The previous prime is 6566010083. The next prime is 6566010107. The reversal of 6566010100 is 10106656.

It is a super-2 number, since 2×6566010100² = 86224977266604020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6566010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79900 + ... + 139699.

It is an arithmetic number, because the mean of its divisors is an integer number (222381600).

Almost surely, 2^6566010100 is an apocalyptic number.

It is an amenable number.

6566010100 is an abundant number, since it is smaller than the sum of its proper divisors (9445465100).

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

6566010100 is a wasteful number, since it uses less digits than its factorization.

6566010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219649 (or 219642 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 6566010100 is about 81030.9206414440. The cubic root of 6566010100 is about 1872.5518365593.

Adding to 6566010100 its reverse (10106656), we get a palindrome (6576116756).

The spelling of 6566010100 in words is "six billion, five hundred sixty-six million, ten thousand, one hundred".