66105200 has 60 divisors (see below), whose sum is σ = 181513680. Its totient is φ = 22663680.

The previous prime is 66105187. The next prime is 66105229. The reversal of 66105200 is 250166.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 9005 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (3025228).

Almost surely, 2^66105200 is an apocalyptic number.

It is an amenable number.

66105200 is an abundant number, since it is smaller than the sum of its proper divisors (115408480).

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

66105200 is a wasteful number, since it uses less digits than its factorization.

66105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23634 (or 23623 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 66105200 is about 8130.5104390807. The cubic root of 66105200 is about 404.3386044705.

Adding to 66105200 its reverse (250166), we get a palindrome (66355366).

The spelling of 66105200 in words is "sixty-six million, one hundred five thousand, two hundred".