66038105 has 16 divisors (see below), whose sum is σ = 90983424. Its totient is φ = 45074880.

The previous prime is 66038101. The next prime is 66038107. The reversal of 66038105 is 50183066.

It is not a de Polignac number, because 66038105 - 2² = 66038101 is a prime.

It is a super-2 number, since 2×66038105² = 8722062623982050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66038101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3575 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (5686464).

Almost surely, 2^66038105 is an apocalyptic number.

It is an amenable number.

66038105 is a deficient number, since it is larger than the sum of its proper divisors (24945319).

66038105 is a wasteful number, since it uses less digits than its factorization.

66038105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 66038105 is about 8126.3832668660. The cubic root of 66038105 is about 404.2017605596.

The spelling of 66038105 in words is "sixty-six million, thirty-eight thousand, one hundred five".