66733105 has 8 divisors (see below), whose sum is σ = 80130600. Its totient is φ = 53352576.

The previous prime is 66733099. The next prime is 66733127. The reversal of 66733105 is 50133766.

66733105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1962801 + 64770304 = 1401^2 + 8048^2 .

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 66733105 - 2¹⁷ = 66602033 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7251 + ... + 13639.

It is an arithmetic number, because the mean of its divisors is an integer number (10016325).

Almost surely, 2^66733105 is an apocalyptic number.

It is an amenable number.

66733105 is a deficient number, since it is larger than the sum of its proper divisors (13397495).

66733105 is a wasteful number, since it uses less digits than its factorization.

66733105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 66733105 is about 8169.0332965413. The cubic root of 66733105 is about 405.6147854389.

The spelling of 66733105 in words is "sixty-six million, seven hundred thirty-three thousand, one hundred five".