66106100005 has 24 divisors (see below), whose sum is σ = 87698645496. Its totient is φ = 47799185280.

The previous prime is 66106099993. The next prime is 66106100051. The reversal of 66106100005 is 50000160166.

It can be written as a sum of positive squares in 4 ways, for example, as 15186372289 + 50919727716 = 123233^2 + 225654^2 .

It is not a de Polignac number, because 66106100005 - 2¹³ = 66106091813 is a prime.

It is a super-2 number, since 2×66106100005² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211134 + ... + 420463.

It is an arithmetic number, because the mean of its divisors is an integer number (3654110229).

Almost surely, 2^66106100005 is an apocalyptic number.

It is an amenable number.

66106100005 is a deficient number, since it is larger than the sum of its proper divisors (21592545491).

66106100005 is a wasteful number, since it uses less digits than its factorization.

66106100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631797 (or 631786 counting only the distinct ones).

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

The spelling of 66106100005 in words is "sixty-six billion, one hundred six million, one hundred thousand, five".