103796 has 24 divisors (see below), whose sum is σ = 227136. Its totient is φ = 40320.

The previous prime is 103787. The next prime is 103801. The reversal of 103796 is 697301.

103796 = T₁₈₃ + T₁₈₄ + ... + T₁₈₈.

It is a happy number.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

103796 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, 140 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2¹⁰³⁷⁹⁶ 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 103796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113568).

103796 is an abundant number, since it is smaller than the sum of its proper divisors (123340).

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

103796 is a wasteful number, since it uses less digits than its factorization.

103796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 103796 is about 322.1738661034. The cubic root of 103796 is about 46.9959254050.

Subtracting 103796 from its reverse (697301), we obtain a triangular number (593505 = T₁₀₈₉).

The spelling of 103796 in words is "one hundred three thousand, seven hundred ninety-six".