103857 has 8 divisors (see below), whose sum is σ = 149184. Its totient is φ = 63888.

The previous prime is 103843. The next prime is 103867. The reversal of 103857 is 758301.

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

It is not a de Polignac number, because 103857 - 2⁴ = 103841 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

103857 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (103837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1293 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2¹⁰³⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

103857 is a deficient number, since it is larger than the sum of its proper divisors (45327).

103857 is a wasteful number, since it uses less digits than its factorization.

103857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 103857 is about 322.2685215779. The cubic root of 103857 is about 47.0051299667.

The spelling of 103857 in words is "one hundred three thousand, eight hundred fifty-seven".