102564085 has 8 divisors (see below), whose sum is σ = 132544440. Its totient is φ = 75739584.

The previous prime is 102564079. The next prime is 102564103. The reversal of 102564085 is 580465201.

It can be written as a sum of positive squares in 4 ways, for example, as 8726116 + 93837969 = 2954^2 + 9687^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102564085 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788890 + ... + 789019.

It is an arithmetic number, because the mean of its divisors is an integer number (16568055).

Almost surely, 2^102564085 is an apocalyptic number.

It is an amenable number.

102564085 is a deficient number, since it is larger than the sum of its proper divisors (29980355).

102564085 is a wasteful number, since it uses less digits than its factorization.

102564085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577927.

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 102564085 is about 10127.3928036785. The cubic root of 102564085 is about 468.0925940563.

It can be divided in two parts, 10256 and 4085, that added together give a palindrome (14341).

The spelling of 102564085 in words is "one hundred two million, five hundred sixty-four thousand, eighty-five".