66105416 has 64 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 29323008.

The previous prime is 66105397. The next prime is 66105419. The reversal of 66105416 is 61450166.

It is a super-3 number, since 3×66105416³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66105419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369215 + ... + 369393.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^66105416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66105416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

66105416 is an abundant number, since it is smaller than the sum of its proper divisors (72696184).

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

66105416 is a wasteful number, since it uses less digits than its factorization.

66105416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

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

The square root of 66105416 is about 8130.5237223687. The cubic root of 66105416 is about 404.3390448647.

The spelling of 66105416 in words is "sixty-six million, one hundred five thousand, four hundred sixteen".