102584568968 has 60 divisors (see below), whose sum is σ = 224487531495. Its totient is φ = 43945791120.

The previous prime is 102584568949. The next prime is 102584568971. The reversal of 102584568968 is 869865485201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 51292284484 + 51292284484 = 226478^2 + 226478^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226478.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102584568968.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 44388533 + ... + 44390843.

Almost surely, 2^102584568968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102584568968

102584568968 is an abundant number, since it is smaller than the sum of its proper divisors (121902962527).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102584568968 is an frugal number, since it uses more digits than its factorization.

102584568968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 62.

The spelling of 102584568968 in words is "one hundred two billion, five hundred eighty-four million, five hundred sixty-eight thousand, nine hundred sixty-eight".