165105420 has 72 divisors (see below), whose sum is σ = 470063664. Its totient is φ = 43300224.

The previous prime is 165105403. The next prime is 165105427. The reversal of 165105420 is 24501561.

It is not an unprimeable number, because it can be changed into a prime (165105427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269034 + ... + 269646.

It is an arithmetic number, because the mean of its divisors is an integer number (6528662).

Almost surely, 2^165105420 is an apocalyptic number.

165105420 is a gapful number since it is divisible by the number (10) 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 165105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235031832).

165105420 is an abundant number, since it is smaller than the sum of its proper divisors (304958244).

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

165105420 is a wasteful number, since it uses less digits than its factorization.

165105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 165105420 is about 12849.3353913734. The cubic root of 165105420 is about 548.5974401341.

Adding to 165105420 its reverse (24501561), we get a palindrome (189606981).

The spelling of 165105420 in words is "one hundred sixty-five million, one hundred five thousand, four hundred twenty".