102006205164 has 72 divisors (see below), whose sum is σ = 260144259648. Its totient is φ = 33700492800.

The previous prime is 102006205159. The next prime is 102006205181. The reversal of 102006205164 is 461502600201.

102006205164 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 620 + 5 + 16 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2243949 + ... + 2288955.

Almost surely, 2^102006205164 is an apocalyptic number.

It is an amenable number.

102006205164 is an abundant number, since it is smaller than the sum of its proper divisors (158138054484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102006205164 is a wasteful number, since it uses less digits than its factorization.

102006205164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45575 (or 45570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 102006205164 its reverse (461502600201), we get a palindrome (563508805365).

The spelling of 102006205164 in words is "one hundred two billion, six million, two hundred five thousand, one hundred sixty-four".