102005555165 has 16 divisors (see below), whose sum is σ = 123224764080. Its totient is φ = 81060756480.

The previous prime is 102005555147. The next prime is 102005555177. The reversal of 102005555165 is 561555500201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5484735481 + 96520819684 = 74059^2 + 310678^2 .

It is not a de Polignac number, because 102005555165 - 2⁶ = 102005555101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371771 + ... + 584999.

It is an arithmetic number, because the mean of its divisors is an integer number (7701547755).

Almost surely, 2^102005555165 is an apocalyptic number.

It is an amenable number.

102005555165 is a deficient number, since it is larger than the sum of its proper divisors (21219208915).

102005555165 is a wasteful number, since it uses less digits than its factorization.

102005555165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213872.

The product of its (nonzero) digits is 37500, while the sum is 35.

The spelling of 102005555165 in words is "one hundred two billion, five million, five hundred fifty-five thousand, one hundred sixty-five".