103936 has 40 divisors (see below), whose sum is σ = 245520. Its totient is φ = 43008.

The previous prime is 103919. The next prime is 103951. The reversal of 103936 is 639301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3570 + ... + 3598.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2¹⁰³⁹³⁶ is an apocalyptic number.

103936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

103936 is an abundant number, since it is smaller than the sum of its proper divisors (141584).

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

103936 is an frugal number, since it uses more digits than its factorization.

103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 103936 is about 322.3910668738. The cubic root of 103936 is about 47.0170452737.

The spelling of 103936 in words is "one hundred three thousand, nine hundred thirty-six".