165040101 has 12 divisors (see below), whose sum is σ = 238619212. Its totient is φ = 109921536.

The previous prime is 165040069. The next prime is 165040133. The reversal of 165040101 is 101040561.

165040101 is a `hidden beast` number, since 1 + 650 + 4 + 0 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (165040069) and next prime (165040133).

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 143640225 = 4626^2 + 11985^2 .

It is not a de Polignac number, because 165040101 - 2⁵ = 165040069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165040151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1845 + ... + 18261.

Almost surely, 2^165040101 is an apocalyptic number.

It is an amenable number.

165040101 is a deficient number, since it is larger than the sum of its proper divisors (73579111).

165040101 is a wasteful number, since it uses less digits than its factorization.

165040101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17540 (or 17537 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 165040101 is about 12846.7934131440. The cubic root of 165040101 is about 548.5250852254.

Adding to 165040101 its reverse (101040561), we get a palindrome (266080662).

The spelling of 165040101 in words is "one hundred sixty-five million, forty thousand, one hundred one".