165506103 has 48 divisors (see below), whose sum is σ = 284930880. Its totient is φ = 90574848.

The previous prime is 165506087. The next prime is 165506113. The reversal of 165506103 is 301605561.

It is a happy number.

165506103 is a `hidden beast` number, since 1 + 6 + 550 + 6 + 103 = 666.

It is not a de Polignac number, because 165506103 - 2⁴ = 165506087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165506113) 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 47 ways as a sum of consecutive naturals, for example, 286551 + ... + 287127.

It is an arithmetic number, because the mean of its divisors is an integer number (5936060).

Almost surely, 2^165506103 is an apocalyptic number.

165506103 is a deficient number, since it is larger than the sum of its proper divisors (119424777).

165506103 is a wasteful number, since it uses less digits than its factorization.

165506103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 165506103 is about 12864.9175279129. The cubic root of 165506103 is about 549.0408660991.

The spelling of 165506103 in words is "one hundred sixty-five million, five hundred six thousand, one hundred three".