103956 has 12 divisors (see below), whose sum is σ = 242592. Its totient is φ = 34648.

The previous prime is 103951. The next prime is 103963. The reversal of 103956 is 659301.

103956 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103951) by changing a digit.

103956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4320 + ... + 4343.

It is an arithmetic number, because the mean of its divisors is an integer number (20216).

2¹⁰³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

103956 is an abundant number, since it is smaller than the sum of its proper divisors (138636).

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

103956 is a wasteful number, since it uses less digits than its factorization.

103956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 103956 is about 322.4220836109. The cubic root of 103956 is about 47.0200608493.

It can be divided in two parts, 10395 and 6, that added together give a palindrome (10401).

The spelling of 103956 in words is "one hundred three thousand, nine hundred fifty-six".