102564245 has 32 divisors (see below), whose sum is σ = 150239232. Its totient is φ = 65685312.

The previous prime is 102564239. The next prime is 102564263. The reversal of 102564245 is 542465201.

It is not a de Polignac number, because 102564245 - 2⁴ = 102564229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33134 + ... + 36096.

It is an arithmetic number, because the mean of its divisors is an integer number (4694976).

Almost surely, 2^102564245 is an apocalyptic number.

It is an amenable number.

102564245 is a deficient number, since it is larger than the sum of its proper divisors (47674987).

102564245 is a wasteful number, since it uses less digits than its factorization.

102564245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041.

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 102564245 is about 10127.4007030432. The cubic root of 102564245 is about 468.0928374644.

The spelling of 102564245 in words is "one hundred two million, five hundred sixty-four thousand, two hundred forty-five".