103705728 has 128 divisors (see below), whose sum is σ = 322842240. Its totient is φ = 28876800.

The previous prime is 103705717. The next prime is 103705733. The reversal of 103705728 is 827507301.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109738 + ... + 110678.

It is an arithmetic number, because the mean of its divisors is an integer number (2522205).

Almost surely, 2^103705728 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 103705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161421120).

103705728 is an abundant number, since it is smaller than the sum of its proper divisors (219136512).

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

103705728 is an equidigital number, since it uses as much as digits as its factorization.

103705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 103705728 is about 10183.6009348364. The cubic root of 103705728 is about 469.8229724127.

The spelling of 103705728 in words is "one hundred three million, seven hundred five thousand, seven hundred twenty-eight".