102564113 has 4 divisors (see below), whose sum is σ = 102606900. Its totient is φ = 102521328.

The previous prime is 102564103. The next prime is 102564127. The reversal of 102564113 is 311465201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311465201 = 89 ⋅3499609.

It can be written as a sum of positive squares in 2 ways, for example, as 87291649 + 15272464 = 9343^2 + 3908^2 .

It is a cyclic number.

It is not a de Polignac number, because 102564113 - 2¹⁴ = 102547729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102564103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17570 + ... + 22667.

It is an arithmetic number, because the mean of its divisors is an integer number (25651725).

Almost surely, 2^102564113 is an apocalyptic number.

It is an amenable number.

102564113 is a deficient number, since it is larger than the sum of its proper divisors (42787).

102564113 is an equidigital number, since it uses as much as digits as its factorization.

102564113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42786.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 102564113 is about 10127.3941860678. The cubic root of 102564113 is about 468.0926366528.

The spelling of 102564113 in words is "one hundred two million, five hundred sixty-four thousand, one hundred thirteen".