165300016 has 80 divisors (see below), whose sum is σ = 380314944. Its totient is φ = 68124672.

The previous prime is 165300013. The next prime is 165300059. The reversal of 165300016 is 610003561.

It is a self number, because there is not a number n which added to its sum of digits gives 165300016.

It is not an unprimeable number, because it can be changed into a prime (165300013) by changing a digit.

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, 468096 + ... + 468448.

Almost surely, 2^165300016 is an apocalyptic number.

165300016 is a gapful number since it is divisible by the number (16) 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 165300016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190157472).

165300016 is an abundant number, since it is smaller than the sum of its proper divisors (215014928).

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

165300016 is a wasteful number, since it uses less digits than its factorization.

165300016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 165300016 is about 12856.9053819339. The cubic root of 165300016 is about 548.8128842099.

Adding to 165300016 its reverse (610003561), we get a palindrome (775303577).

The spelling of 165300016 in words is "one hundred sixty-five million, three hundred thousand, sixteen".