103883287728 has 240 divisors, whose sum is σ = 302490326880. Its totient is φ = 30688542720.

The previous prime is 103883287723. The next prime is 103883287741. The reversal of 103883287728 is 827782388301.

It is not an unprimeable number, because it can be changed into a prime (103883287723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37733200 + ... + 37735952.

It is an arithmetic number, because the mean of its divisors is an integer number (1260376362).

Almost surely, 2^103883287728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103883287728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151245163440).

103883287728 is an abundant number, since it is smaller than the sum of its proper divisors (198607039152).

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

103883287728 is a wasteful number, since it uses less digits than its factorization.

103883287728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 103883287728 in words is "one hundred three billion, eight hundred eighty-three million, two hundred eighty-seven thousand, seven hundred twenty-eight".