103842 has 20 divisors (see below), whose sum is σ = 233046. Its totient is φ = 34560.

The previous prime is 103841. The next prime is 103843. The reversal of 103842 is 248301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103841) and next prime (103843).

It can be written as a sum of positive squares in only one way, i.e., 68121 + 35721 = 261^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159 + ... + 482.

2¹⁰³⁸⁴² is an apocalyptic number.

103842 is an abundant number, since it is smaller than the sum of its proper divisors (129204).

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

103842 is an equidigital number, since it uses as much as digits as its factorization.

103842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103842 is about 322.2452482194. The cubic root of 103842 is about 47.0028668841.

The spelling of 103842 in words is "one hundred three thousand, eight hundred forty-two".