102086476128 has 432 divisors, whose sum is σ = 372169573776. Its totient is φ = 26295736320.

The previous prime is 102086476103. The next prime is 102086476133. The reversal of 102086476128 is 821674680201.

102086476128 is a `hidden beast` number, since 1 + 0 + 20 + 8 + 6 + 4 + 7 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7882138 + ... + 7895078.

It is an arithmetic number, because the mean of its divisors is an integer number (861503643).

Almost surely, 2^102086476128 is an apocalyptic number.

102086476128 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 102086476128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186084786888).

102086476128 is an abundant number, since it is smaller than the sum of its proper divisors (270083097648).

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

102086476128 is a wasteful number, since it uses less digits than its factorization.

102086476128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13027 (or 13009 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 102086476128 in words is "one hundred two billion, eighty-six million, four hundred seventy-six thousand, one hundred twenty-eight".