102768530000 has 200 divisors, whose sum is σ = 266231903520. Its totient is φ = 38301120000.

The previous prime is 102768529993. The next prime is 102768530003. The reversal of 102768530000 is 35867201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×102768530000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102768530003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11585567 + ... + 11594433.

Almost surely, 2^102768530000 is an apocalyptic number.

102768530000 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 102768530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133115951760).

102768530000 is an abundant number, since it is smaller than the sum of its proper divisors (163463373520).

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

102768530000 is an equidigital number, since it uses as much as digits as its factorization.

102768530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 102768530000 in words is "one hundred two billion, seven hundred sixty-eight million, five hundred thirty thousand".