102564413607 has 8 divisors (see below), whose sum is σ = 138007162480. Its totient is φ = 67748970240.

The previous prime is 102564413579. The next prime is 102564413657. The reversal of 102564413607 is 706314465201.

It is a happy number.

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

It is not a de Polignac number, because 102564413607 - 2⁸ = 102564413351 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102564413657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156825994 + ... + 156826647.

It is an arithmetic number, because the mean of its divisors is an integer number (17250895310).

Almost surely, 2^102564413607 is an apocalyptic number.

102564413607 is a deficient number, since it is larger than the sum of its proper divisors (35442748873).

102564413607 is a wasteful number, since it uses less digits than its factorization.

102564413607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313652753.

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 102564413607 its reverse (706314465201), we get a palindrome (808878878808).

The spelling of 102564413607 in words is "one hundred two billion, five hundred sixty-four million, four hundred thirteen thousand, six hundred seven".