102128502784 has 192 divisors, whose sum is σ = 255307852800. Its totient is φ = 39679180800.

The previous prime is 102128502743. The next prime is 102128502793. The reversal of 102128502784 is 487205821201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77428077 + ... + 77429395.

It is an arithmetic number, because the mean of its divisors is an integer number (1329728400).

Almost surely, 2^102128502784 is an apocalyptic number.

102128502784 is a gapful number since it is divisible by the number (14) 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 102128502784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127653926400).

102128502784 is an abundant number, since it is smaller than the sum of its proper divisors (153179350016).

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

102128502784 is a wasteful number, since it uses less digits than its factorization.

102128502784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 102128502784 in words is "one hundred two billion, one hundred twenty-eight million, five hundred two thousand, seven hundred eighty-four".