103257 has 24 divisors (see below), whose sum is σ = 187200. Its totient is φ = 53280.

The previous prime is 103237. The next prime is 103289. The reversal of 103257 is 752301.

It is not a de Polignac number, because 103257 - 2⁸ = 103001 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103257.

It is not an unprimeable number, because it can be changed into a prime (103217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2¹⁰³²⁵⁷ is an apocalyptic number.

It is an amenable number.

103257 is a deficient number, since it is larger than the sum of its proper divisors (83943).

103257 is a wasteful number, since it uses less digits than its factorization.

103257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 103257 is about 321.3362724624. The cubic root of 103257 is about 46.9144361462.

Adding to 103257 its reverse (752301), we get a palindrome (855558).

It can be divided in two parts, 1032 and 57, that added together give a square (1089 = 33²).

The spelling of 103257 in words is "one hundred three thousand, two hundred fifty-seven".