165027105 has 64 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 83263680.

The previous prime is 165027089. The next prime is 165027113. The reversal of 165027105 is 501720561.

165027105 is a `hidden beast` number, since 1 + 650 + 2 + 7 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 165027105 - 2⁴ = 165027089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 196276 + ... + 197114.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^165027105 is an apocalyptic number.

165027105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165027105 is a deficient number, since it is larger than the sum of its proper divisors (144630495).

165027105 is a wasteful number, since it uses less digits than its factorization.

165027105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 165027105 is about 12846.2875960333. The cubic root of 165027105 is about 548.5106870699.

Adding to 165027105 its reverse (501720561), we get a palindrome (666747666).

The spelling of 165027105 in words is "one hundred sixty-five million, twenty-seven thousand, one hundred five".