103725 has 18 divisors (see below), whose sum is σ = 186186. Its totient is φ = 55200.

The previous prime is 103723. The next prime is 103769. The reversal of 103725 is 527301.

It can be written as a sum of positive squares in 3 ways, for example, as 2601 + 101124 = 51^2 + 318^2 .

It is not a de Polignac number, because 103725 - 2¹ = 103723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103698 and 103707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6 + ... + 455.

2¹⁰³⁷²⁵ is an apocalyptic number.

103725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103725 is a deficient number, since it is larger than the sum of its proper divisors (82461).

103725 is a wasteful number, since it uses less digits than its factorization.

103725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

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

The square root of 103725 is about 322.0636583038. The cubic root of 103725 is about 46.9852073562.

It can be divided in two parts, 103 and 725, that added together give a palindrome (828).

The spelling of 103725 in words is "one hundred three thousand, seven hundred twenty-five".