102873120768 has 600 divisors, whose sum is σ = 348268646880. Its totient is φ = 30098718720.

The previous prime is 102873120733. The next prime is 102873120781. The reversal of 102873120768 is 867021378201.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3547348978 + ... + 3547349006.

Almost surely, 2^102873120768 is an apocalyptic number.

102873120768 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 102873120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174134323440).

102873120768 is an abundant number, since it is smaller than the sum of its proper divisors (245395526112).

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

102873120768 is an frugal number, since it uses more digits than its factorization.

102873120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 102873120768 its reverse (867021378201), we get a palindrome (969894498969).

The spelling of 102873120768 in words is "one hundred two billion, eight hundred seventy-three million, one hundred twenty thousand, seven hundred sixty-eight".