102563896068 has 36 divisors (see below), whose sum is σ = 259274974140. Its totient is φ = 34185824256.

The previous prime is 102563896063. The next prime is 102563896133. The reversal of 102563896068 is 860698365201.

It is a happy number.

102563896068 is a `hidden beast` number, since 1 + 0 + 25 + 6 + 3 + 8 + 9 + 606 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64085935104 + 38477960964 = 253152^2 + 196158^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (102563896063) 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 11 ways as a sum of consecutive naturals, for example, 557896 + ... + 718592.

It is an arithmetic number, because the mean of its divisors is an integer number (7202082615).

Almost surely, 2^102563896068 is an apocalyptic number.

102563896068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102563896068 is an abundant number, since it is smaller than the sum of its proper divisors (156711078072).

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

102563896068 is a wasteful number, since it uses less digits than its factorization.

102563896068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178436 (or 178431 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 102563896068 in words is "one hundred two billion, five hundred sixty-three million, eight hundred ninety-six thousand, sixty-eight".