103932768000 has 576 divisors, whose sum is σ = 364515121152. Its totient is φ = 26195558400.

The previous prime is 103932767999. The next prime is 103932768101. The reversal of 103932768000 is 867239301.

It is a self number, because there is not a number n which added to its sum of digits gives 103932768000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227423772 + ... + 227424228.

It is an arithmetic number, because the mean of its divisors is an integer number (632838752).

Almost surely, 2^103932768000 is an apocalyptic number.

103932768000 is a gapful number since it is divisible by the number (10) 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 103932768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182257560576).

103932768000 is an abundant number, since it is smaller than the sum of its proper divisors (260582353152).

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

103932768000 is a wasteful number, since it uses less digits than its factorization.

103932768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 103932768000 in words is "one hundred three billion, nine hundred thirty-two million, seven hundred sixty-eight thousand".