103205320533440 has 448 divisors, whose sum is σ = 265745976975360. Its totient is φ = 38078728765440.

The previous prime is 103205320533439. The next prime is 103205320533451. The reversal of 103205320533440 is 44335023502301.

It is a self number, because there is not a number n which added to its sum of digits gives 103205320533440.

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, 15466101944 + ... + 15466108616.

It is an arithmetic number, because the mean of its divisors is an integer number (593182984320).

Almost surely, 2^{103205320533440} is an apocalyptic number.

103205320533440 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 103205320533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132872988487680).

103205320533440 is an abundant number, since it is smaller than the sum of its proper divisors (162540656441920).

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

103205320533440 is a wasteful number, since it uses less digits than its factorization.

103205320533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7340 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 103205320533440 in words is "one hundred three trillion, two hundred five billion, three hundred twenty million, five hundred thirty-three thousand, four hundred forty".