165009105 has 24 divisors (see below), whose sum is σ = 288648360. Its totient is φ = 87194880.

The previous prime is 165009079. The next prime is 165009121. The reversal of 165009105 is 501900561.

165009105 is a `hidden beast` number, since 1 + 650 + 0 + 9 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51969681 + 113039424 = 7209^2 + 10632^2 .

It is not a de Polignac number, because 165009105 - 2⁸ = 165008849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11916 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (12027015).

Almost surely, 2^165009105 is an apocalyptic number.

165009105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165009105 is a deficient number, since it is larger than the sum of its proper divisors (123639255).

165009105 is a wasteful number, since it uses less digits than its factorization.

165009105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33761 (or 33758 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 165009105 is about 12845.5869854203. The cubic root of 165009105 is about 548.4907437776.

Adding to 165009105 its reverse (501900561), we get a palindrome (666909666).

The spelling of 165009105 in words is "one hundred sixty-five million, nine thousand, one hundred five".