102984762125808 has 560 divisors, whose sum is σ = 316315814492160. Its totient is φ = 32400586538496.

The previous prime is 102984762125801. The next prime is 102984762125827. The reversal of 102984762125808 is 808521267489201.

102984762125808 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 8 + 47 + 6 + 2 + 1 + 2 + 580 + 8 = 666.

It is a super-2 number, since 2×102984762125808² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102984762125801) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 22199773953 + ... + 22199778591.

It is an arithmetic number, because the mean of its divisors is an integer number (564849668736).

Almost surely, 2^{102984762125808} is an apocalyptic number.

102984762125808 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 102984762125808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158157907246080).

102984762125808 is an abundant number, since it is smaller than the sum of its proper divisors (213331052366352).

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

102984762125808 is an equidigital number, since it uses as much as digits as its factorization.

102984762125808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 102984762125808 in words is "one hundred two trillion, nine hundred eighty-four billion, seven hundred sixty-two million, one hundred twenty-five thousand, eight hundred eight".