102756221568 has 640 divisors, whose sum is σ = 410627226240. Its totient is φ = 24634368000.

The previous prime is 102756221551. The next prime is 102756221597. The reversal of 102756221568 is 865122657201.

102756221568 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 5 + 62 + 21 + 568 = 666.

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 79 ways as a sum of consecutive naturals, for example, 10373418 + ... + 10383318.

It is an arithmetic number, because the mean of its divisors is an integer number (641605041).

Almost surely, 2^102756221568 is an apocalyptic number.

102756221568 is a gapful number since it is divisible by the number (18) 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 102756221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205313613120).

102756221568 is an abundant number, since it is smaller than the sum of its proper divisors (307871004672).

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

102756221568 is a wasteful number, since it uses less digits than its factorization.

102756221568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 102756221568 its reverse (865122657201), we get a palindrome (967878878769).

The spelling of 102756221568 in words is "one hundred two billion, seven hundred fifty-six million, two hundred twenty-one thousand, five hundred sixty-eight".