102428221608 has 192 divisors, whose sum is σ = 301195065600. Its totient is φ = 31342118400.

The previous prime is 102428221591. The next prime is 102428221631. The reversal of 102428221608 is 806122824201.

102428221608 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 28 + 2 + 21 + 608 = 666.

102428221608 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6486010 + ... + 6501782.

It is an arithmetic number, because the mean of its divisors is an integer number (1568724300).

Almost surely, 2^102428221608 is an apocalyptic number.

102428221608 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 102428221608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150597532800).

102428221608 is an abundant number, since it is smaller than the sum of its proper divisors (198766843992).

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

102428221608 is a wasteful number, since it uses less digits than its factorization.

102428221608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15945 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 102428221608 in words is "one hundred two billion, four hundred twenty-eight million, two hundred twenty-one thousand, six hundred eight".