102006564 has 48 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 29566240.

The previous prime is 102006563. The next prime is 102006571. The reversal of 102006564 is 465600201.

It is not an unprimeable number, because it can be changed into a prime (102006563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13764 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2^102006564 is an apocalyptic number.

It is an amenable number.

102006564 is an abundant number, since it is smaller than the sum of its proper divisors (168943836).

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

102006564 is a wasteful number, since it uses less digits than its factorization.

102006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33640 (or 33638 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102006564 is about 10099.8298995577. The cubic root of 102006564 is about 467.2428952237.

Adding to 102006564 its reverse (465600201), we get a palindrome (567606765).

The spelling of 102006564 in words is "one hundred two million, six thousand, five hundred sixty-four".