103931839200 has 1152 divisors, whose sum is σ = 437372006400. Its totient is φ = 20866498560.

The previous prime is 103931839189. The next prime is 103931839201. The reversal of 103931839200 is 2938139301.

103931839200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103931839201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 580624711 + ... + 580624889.

It is an arithmetic number, because the mean of its divisors is an integer number (379663200).

Almost surely, 2^103931839200 is an apocalyptic number.

103931839200 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 103931839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218686003200).

103931839200 is an abundant number, since it is smaller than the sum of its proper divisors (333440167200).

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

103931839200 is a wasteful number, since it uses less digits than its factorization.

103931839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 103931839200 in words is "one hundred three billion, nine hundred thirty-one million, eight hundred thirty-nine thousand, two hundred".