66312105 has 32 divisors (see below), whose sum is σ = 112271616. Its totient is φ = 33352704.

The previous prime is 66312079. The next prime is 66312107. The reversal of 66312105 is 50121366.

It is not a de Polignac number, because 66312105 - 2⁶ = 66312041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66312107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23869 + ... + 26501.

It is an arithmetic number, because the mean of its divisors is an integer number (3508488).

Almost surely, 2^66312105 is an apocalyptic number.

It is an amenable number.

66312105 is a deficient number, since it is larger than the sum of its proper divisors (45959511).

66312105 is a wasteful number, since it uses less digits than its factorization.

66312105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66312105 is about 8143.2244841954. The cubic root of 66312105 is about 404.7600163376.

The spelling of 66312105 in words is "sixty-six million, three hundred twelve thousand, one hundred five".