102564345 has 32 divisors (see below), whose sum is σ = 178883712. Its totient is φ = 49876992.

The previous prime is 102564317. The next prime is 102564353. The reversal of 102564345 is 543465201.

It is not a de Polignac number, because 102564345 - 2¹⁵ = 102531577 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13017 + ... + 19353.

It is an arithmetic number, because the mean of its divisors is an integer number (5590116).

Almost surely, 2^102564345 is an apocalyptic number.

102564345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102564345 is a deficient number, since it is larger than the sum of its proper divisors (76319367).

102564345 is a wasteful number, since it uses less digits than its factorization.

102564345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 102564345 is about 10127.4056401430. The cubic root of 102564345 is about 468.0929895943.

The spelling of 102564345 in words is "one hundred two million, five hundred sixty-four thousand, three hundred forty-five".