66105010105 has 8 divisors (see below), whose sum is σ = 79784545032. Its totient is φ = 52578319488.

The previous prime is 66105010099. The next prime is 66105010123. The reversal of 66105010105 is 50101050166.

It can be written as a sum of positive squares in 4 ways, for example, as 11005898281 + 55099111824 = 104909^2 + 234732^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66105010105 - 2²³ = 66096621497 is a prime.

It is a super-2 number, since 2×66105010105² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66105010105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38210124 + ... + 38211853.

It is an arithmetic number, because the mean of its divisors is an integer number (9973068129).

Almost surely, 2^66105010105 is an apocalyptic number.

It is an amenable number.

66105010105 is a deficient number, since it is larger than the sum of its proper divisors (13679534927).

66105010105 is a wasteful number, since it uses less digits than its factorization.

66105010105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76422155.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 66105010105 in words is "sixty-six billion, one hundred five million, ten thousand, one hundred five".