103168000992 has 384 divisors, whose sum is σ = 328237056000. Its totient is φ = 28331251200.

The previous prime is 103168000981. The next prime is 103168001011. The reversal of 103168000992 is 299000861301.

It is a self number, because there is not a number n which added to its sum of digits gives 103168000992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215381809 + ... + 215382287.

It is an arithmetic number, because the mean of its divisors is an integer number (854784000).

Almost surely, 2^103168000992 is an apocalyptic number.

103168000992 is a gapful number since it is divisible by the number (12) 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 103168000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164118528000).

103168000992 is an abundant number, since it is smaller than the sum of its proper divisors (225069055008).

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

103168000992 is a wasteful number, since it uses less digits than its factorization.

103168000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 103168000992 in words is "one hundred three billion, one hundred sixty-eight million, nine hundred ninety-two", and thus it is an aban number.