102564561 has 24 divisors (see below), whose sum is σ = 155514240. Its totient is φ = 60010720.

The previous prime is 102564559. The next prime is 102564611. The reversal of 102564561 is 165465201.

It is not a de Polignac number, because 102564561 - 2¹ = 102564559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102564551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5656 + ... + 15398.

It is an arithmetic number, because the mean of its divisors is an integer number (6479760).

Almost surely, 2^102564561 is an apocalyptic number.

102564561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102564561 is a deficient number, since it is larger than the sum of its proper divisors (52949679).

102564561 is a wasteful number, since it uses less digits than its factorization.

102564561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9786 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 102564561 is about 10127.4163042703. The cubic root of 102564561 is about 468.0933181946.

The spelling of 102564561 in words is "one hundred two million, five hundred sixty-four thousand, five hundred sixty-one".