103709828880 has 720 divisors, whose sum is σ = 413891478000. Its totient is φ = 23201095680.

The previous prime is 103709828867. The next prime is 103709828891. The reversal of 103709828880 is 88828907301.

It can be written as a sum of positive squares in 8 ways, for example, as 26310137616 + 77399691264 = 162204^2 + 278208^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 572982390 + ... + 572982570.

It is an arithmetic number, because the mean of its divisors is an integer number (574849275).

Almost surely, 2^103709828880 is an apocalyptic number.

103709828880 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 103709828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206945739000).

103709828880 is an abundant number, since it is smaller than the sum of its proper divisors (310181649120).

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

103709828880 is a wasteful number, since it uses less digits than its factorization.

103709828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 103709828880 in words is "one hundred three billion, seven hundred nine million, eight hundred twenty-eight thousand, eight hundred eighty".