102075983568 has 240 divisors, whose sum is σ = 320219879616. Its totient is φ = 31291868160.

The previous prime is 102075983567. The next prime is 102075983599. The reversal of 102075983568 is 865389570201.

102075983568 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 75 + 9 + 8 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102075983567) by changing a digit.

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, 14199271 + ... + 14206457.

Almost surely, 2^102075983568 is an apocalyptic number.

102075983568 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 102075983568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160109939808).

102075983568 is an abundant number, since it is smaller than the sum of its proper divisors (218143896048).

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

102075983568 is a wasteful number, since it uses less digits than its factorization.

102075983568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 102075983568 in words is "one hundred two billion, seventy-five million, nine hundred eighty-three thousand, five hundred sixty-eight".