102768286608 has 120 divisors (see below), whose sum is σ = 314355449408. Its totient is φ = 31149017856.

The previous prime is 102768286597. The next prime is 102768286613. The reversal of 102768286608 is 806682867201.

102768286608 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 6 + 8 + 28 + 6 + 608 = 666.

102768286608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102768286608² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284260 + ... + 535107.

Almost surely, 2^102768286608 is an apocalyptic number.

102768286608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102768286608 is an abundant number, since it is smaller than the sum of its proper divisors (211587162800).

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

102768286608 is a wasteful number, since it uses less digits than its factorization.

102768286608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819461 (or 819452 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

It can be divided in two parts, 102768 and 286608, that added together give a square (389376 = 624²).

The spelling of 102768286608 in words is "one hundred two billion, seven hundred sixty-eight million, two hundred eighty-six thousand, six hundred eight".