103903843605840 has 640 divisors, whose sum is σ = 367345722654720. Its totient is φ = 26981984120832.

The previous prime is 103903843605833. The next prime is 103903843605847. The reversal of 103903843605840 is 48506348309301.

103903843605840 is a `hidden beast` number, since 1 + 0 + 3 + 90 + 38 + 436 + 0 + 58 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (103903843605833) and next prime (103903843605847).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103903843605847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19287883627 + ... + 19287889013.

It is an arithmetic number, because the mean of its divisors is an integer number (573977691648).

Almost surely, 2^{103903843605840} is an apocalyptic number.

103903843605840 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 103903843605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183672861327360).

103903843605840 is an abundant number, since it is smaller than the sum of its proper divisors (263441879048880).

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

103903843605840 is a wasteful number, since it uses less digits than its factorization.

103903843605840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 103903843605840 in words is "one hundred three trillion, nine hundred three billion, eight hundred forty-three million, six hundred five thousand, eight hundred forty".