103896 has 64 divisors (see below), whose sum is σ = 319200. Its totient is φ = 31104.

The previous prime is 103889. The next prime is 103903. The reversal of 103896 is 698301.

It is an interprime number because it is at equal distance from previous prime (103889) and next prime (103903).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790 + ... + 2826.

2¹⁰³⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159600).

103896 is an abundant number, since it is smaller than the sum of its proper divisors (215304).

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

103896 is a wasteful number, since it uses less digits than its factorization.

103896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103896 is about 322.3290244455. The cubic root of 103896 is about 47.0110129617.

It can be divided in two parts, 103 and 896, that added together give a palindrome (999).

The spelling of 103896 in words is "one hundred three thousand, eight hundred ninety-six".