66105336 has 64 divisors (see below), whose sum is σ = 181209600. Its totient is φ = 19929600.

The previous prime is 66105329. The next prime is 66105337. The reversal of 66105336 is 63350166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66105337) 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, 63105 + ... + 64143.

It is an arithmetic number, because the mean of its divisors is an integer number (2831400).

Almost surely, 2^66105336 is an apocalyptic number.

66105336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66105336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90604800).

66105336 is an abundant number, since it is smaller than the sum of its proper divisors (115104264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66105336 is a wasteful number, since it uses less digits than its factorization.

66105336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 66105336 is about 8130.5188026349. The cubic root of 66105336 is about 404.3388817558.

The spelling of 66105336 in words is "sixty-six million, one hundred five thousand, three hundred thirty-six".