66105120 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 17192960.

The previous prime is 66105119. The next prime is 66105133. The reversal of 66105120 is 2150166.

It is a happy number.

66105120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 18001 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^66105120 is an apocalyptic number.

66105120 is a gapful number since it is divisible by the number (60) 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 66105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

66105120 is an abundant number, since it is smaller than the sum of its proper divisors (147268320).

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

66105120 is a wasteful number, since it uses less digits than its factorization.

66105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 66105120 is about 8130.5055193389. The cubic root of 66105120 is about 404.3384413613.

Adding to 66105120 its reverse (2150166), we get a palindrome (68255286).

The spelling of 66105120 in words is "sixty-six million, one hundred five thousand, one hundred twenty".