165105312 has 48 divisors (see below), whose sum is σ = 436554720. Its totient is φ = 54634752.

The previous prime is 165105299. The next prime is 165105331. The reversal of 165105312 is 213501561.

165105312 is digitally balanced in base 2 and base 3, because in such bases 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7158 + ... + 19530.

It is an arithmetic number, because the mean of its divisors is an integer number (9094890).

Almost surely, 2^165105312 is an apocalyptic number.

165105312 is a gapful number since it is divisible by the number (12) 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 165105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218277360).

165105312 is an abundant number, since it is smaller than the sum of its proper divisors (271449408).

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

165105312 is a wasteful number, since it uses less digits than its factorization.

165105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525 (or 12517 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 165105312 is about 12849.3311888207. The cubic root of 165105312 is about 548.5973205165.

Adding to 165105312 its reverse (213501561), we get a palindrome (378606873).

The spelling of 165105312 in words is "one hundred sixty-five million, one hundred five thousand, three hundred twelve".