102948251168 has 192 divisors, whose sum is σ = 248070316032. Its totient is φ = 41124464640.

The previous prime is 102948251141. The next prime is 102948251201. The reversal of 102948251168 is 861152849201.

102948251168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102948251168² (a number of 23 digits) contains 22 as substring.

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, 21794855 + ... + 21799577.

It is an arithmetic number, because the mean of its divisors is an integer number (1292032896).

Almost surely, 2^102948251168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102948251168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124035158016).

102948251168 is an abundant number, since it is smaller than the sum of its proper divisors (145122064864).

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

102948251168 is a wasteful number, since it uses less digits than its factorization.

102948251168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 102948251168 in words is "one hundred two billion, nine hundred forty-eight million, two hundred fifty-one thousand, one hundred sixty-eight".