165231104 has 40 divisors (see below), whose sum is σ = 336423780. Its totient is φ = 81043456.

The previous prime is 165231097. The next prime is 165231113. The reversal of 165231104 is 401132561.

It can be written as a sum of positive squares in 2 ways, for example, as 165071104 + 160000 = 12848^2 + 400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165231104.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 24092 + ... + 30180.

Almost surely, 2^165231104 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 165231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168211890).

165231104 is an abundant number, since it is smaller than the sum of its proper divisors (171192676).

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

165231104 is an frugal number, since it uses more digits than its factorization.

165231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 165231104 is about 12854.2251419524. The cubic root of 165231104 is about 548.7366086572.

Adding to 165231104 its reverse (401132561), we get a palindrome (566363665).

The spelling of 165231104 in words is "one hundred sixty-five million, two hundred thirty-one thousand, one hundred four".