61666060100 has 36 divisors (see below), whose sum is σ = 141686845524. Its totient is φ = 23215457280.

The previous prime is 61666060097. The next prime is 61666060129. The reversal of 61666060100 is 106066616.

It can be written as a sum of positive squares in 6 ways, for example, as 6006870016 + 55659190084 = 77504^2 + 235922^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18135377 + ... + 18138776.

It is an arithmetic number, because the mean of its divisors is an integer number (3935745709).

Almost surely, 2^61666060100 is an apocalyptic number.

It is an amenable number.

61666060100 is an abundant number, since it is smaller than the sum of its proper divisors (80020785424).

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

61666060100 is a wasteful number, since it uses less digits than its factorization.

61666060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36274184 (or 36274177 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 61666060100 in words is "sixty-one billion, six hundred sixty-six million, sixty thousand, one hundred".