102805593984 has 384 divisors, whose sum is σ = 327498662400. Its totient is φ = 32006762496.

The previous prime is 102805593971. The next prime is 102805594009. The reversal of 102805593984 is 489395508201.

102805593984 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 0 + 559 + 3 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102805593984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43140057 + ... + 43142439.

It is an arithmetic number, because the mean of its divisors is an integer number (852861100).

Almost surely, 2^102805593984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102805593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749331200).

102805593984 is an abundant number, since it is smaller than the sum of its proper divisors (224693068416).

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

102805593984 is an equidigital number, since it uses as much as digits as its factorization.

102805593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 102805593984 in words is "one hundred two billion, eight hundred five million, five hundred ninety-three thousand, nine hundred eighty-four".