102884865190668 has 288 divisors, whose sum is σ = 309631533120000. Its totient is φ = 28454289776640.

The previous prime is 102884865190633. The next prime is 102884865190717. The reversal of 102884865190668 is 866091568488201.

102884865190668 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 8 + 48 + 6 + 519 + 0 + 6 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102884865190596 and 102884865190605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97444921 + ... + 98495087.

It is an arithmetic number, because the mean of its divisors is an integer number (1075109490000).

Almost surely, 2^{102884865190668} is an apocalyptic number.

102884865190668 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 102884865190668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154815766560000).

102884865190668 is an abundant number, since it is smaller than the sum of its proper divisors (206746667929332).

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

102884865190668 is a wasteful number, since it uses less digits than its factorization.

102884865190668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050685 (or 1050680 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 102884865190668 in words is "one hundred two trillion, eight hundred eighty-four billion, eight hundred sixty-five million, one hundred ninety thousand, six hundred sixty-eight".