102884689920 has 384 divisors, whose sum is σ = 348147072000. Its totient is φ = 25866731520.

The previous prime is 102884689909. The next prime is 102884689927. The reversal of 102884689920 is 29986488201.

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 (57).

It is not an unprimeable number, because it can be changed into a prime (102884689927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209540875 + ... + 209541365.

It is an arithmetic number, because the mean of its divisors is an integer number (906633000).

Almost surely, 2^102884689920 is an apocalyptic number.

102884689920 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 102884689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073536000).

102884689920 is an abundant number, since it is smaller than the sum of its proper divisors (245262382080).

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

102884689920 is a wasteful number, since it uses less digits than its factorization.

102884689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 102884689920 in words is "one hundred two billion, eight hundred eighty-four million, six hundred eighty-nine thousand, nine hundred twenty".