66105116 has 36 divisors (see below), whose sum is σ = 146809656. Its totient is φ = 25754400.

The previous prime is 66105107. The next prime is 66105119. The reversal of 66105116 is 61150166.

It is a super-2 number, since 2×66105116² = 8739772722746912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66105119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13175 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (4078046).

Almost surely, 2^66105116 is an apocalyptic number.

It is an amenable number.

66105116 is an abundant number, since it is smaller than the sum of its proper divisors (80704540).

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

66105116 is a wasteful number, since it uses less digits than its factorization.

66105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30690 (or 30681 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 66105116 is about 8130.5052733517. The cubic root of 66105116 is about 404.3384332058.

The spelling of 66105116 in words is "sixty-six million, one hundred five thousand, one hundred sixteen".