102163181856 has 192 divisors, whose sum is σ = 284027627520. Its totient is φ = 32089559040.

The previous prime is 102163181839. The next prime is 102163181867. The reversal of 102163181856 is 658181361201.

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 31 ways as a sum of consecutive naturals, for example, 47985400 + ... + 47987528.

It is an arithmetic number, because the mean of its divisors is an integer number (1479310560).

Almost surely, 2^102163181856 is an apocalyptic number.

102163181856 is a gapful number since it is divisible by the number (16) 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 102163181856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142013813760).

102163181856 is an abundant number, since it is smaller than the sum of its proper divisors (181864445664).

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

102163181856 is a wasteful number, since it uses less digits than its factorization.

102163181856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 102163181856 in words is "one hundred two billion, one hundred sixty-three million, one hundred eighty-one thousand, eight hundred fifty-six".