103836 has 24 divisors (see below), whose sum is σ = 257040. Its totient is φ = 32512.

The previous prime is 103813. The next prime is 103837. The reversal of 103836 is 638301.

103836 = 70² + 71² + ... + 86².

103836 is nontrivially palindromic in base 11.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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

103836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2¹⁰³⁸³⁶ is an apocalyptic number.

It is an amenable number.

103836 is an abundant number, since it is smaller than the sum of its proper divisors (153204).

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

103836 is a wasteful number, since it uses less digits than its factorization.

103836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103836 is about 322.2359384054. The cubic root of 103836 is about 47.0019615901.

It can be divided in two parts, 103 and 836, that added together give a palindrome (939).

The spelling of 103836 in words is "one hundred three thousand, eight hundred thirty-six".