103728385 has 8 divisors (see below), whose sum is σ = 125162856. Its totient is φ = 82523520.

The previous prime is 103728377. The next prime is 103728403. The reversal of 103728385 is 583827301.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 103042801 = 828^2 + 10151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103728385 - 2³ = 103728377 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 56404 + ... + 58213.

It is an arithmetic number, because the mean of its divisors is an integer number (15645357).

Almost surely, 2^103728385 is an apocalyptic number.

It is an amenable number.

103728385 is a deficient number, since it is larger than the sum of its proper divisors (21434471).

103728385 is a wasteful number, since it uses less digits than its factorization.

103728385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114803.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 103728385 is about 10184.7132998431. The cubic root of 103728385 is about 469.8571846148.

The spelling of 103728385 in words is "one hundred three million, seven hundred twenty-eight thousand, three hundred eighty-five".