102768966720 has 336 divisors, whose sum is σ = 412579035648. Its totient is φ = 22990049280.

The previous prime is 102768966719. The next prime is 102768966757. The reversal of 102768966720 is 27669867201.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×102768966720² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893290 + ... + 1001750.

Almost surely, 2^102768966720 is an apocalyptic number.

102768966720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102768966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206289517824).

102768966720 is an abundant number, since it is smaller than the sum of its proper divisors (309810068928).

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

102768966720 is a wasteful number, since it uses less digits than its factorization.

102768966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108538 (or 108525 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 102768966720 in words is "one hundred two billion, seven hundred sixty-eight million, nine hundred sixty-six thousand, seven hundred twenty".