102128329500 has 96 divisors (see below), whose sum is σ = 297496390464. Its totient is φ = 27225184000.

The previous prime is 102128329469. The next prime is 102128329529. The reversal of 102128329500 is 5923821201.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5361994 + ... + 5381006.

It is an arithmetic number, because the mean of its divisors is an integer number (3098920734).

Almost surely, 2^102128329500 is an apocalyptic number.

102128329500 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 102128329500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148748195232).

102128329500 is an abundant number, since it is smaller than the sum of its proper divisors (195368060964).

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

102128329500 is a wasteful number, since it uses less digits than its factorization.

102128329500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22616 (or 22604 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 102128329500 in words is "one hundred two billion, one hundred twenty-eight million, three hundred twenty-nine thousand, five hundred".