102209426928 has 720 divisors, whose sum is σ = 359661908736. Its totient is φ = 26963435520.

The previous prime is 102209426911. The next prime is 102209426929. The reversal of 102209426928 is 829624902201.

102209426928 is a `hidden beast` number, since 10 + 2 + 209 + 426 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102209426929) 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 143 ways as a sum of consecutive naturals, for example, 590805850 + ... + 590806022.

Almost surely, 2^102209426928 is an apocalyptic number.

102209426928 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 102209426928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179830954368).

102209426928 is an abundant number, since it is smaller than the sum of its proper divisors (257452481808).

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

102209426928 is a wasteful number, since it uses less digits than its factorization.

102209426928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 102209426928 in words is "one hundred two billion, two hundred nine million, four hundred twenty-six thousand, nine hundred twenty-eight".