103920 has 40 divisors (see below), whose sum is σ = 322896. Its totient is φ = 27648.

The previous prime is 103919. The next prime is 103951. The reversal of 103920 is 29301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 456.

2¹⁰³⁹²⁰ is an apocalyptic number.

103920 is a gapful number since it is divisible by the number (10) 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 103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448).

103920 is an abundant number, since it is smaller than the sum of its proper divisors (218976).

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

103920 is a wasteful number, since it uses less digits than its factorization.

103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103920 is about 322.3662513353. The cubic root of 103920 is about 47.0146325347.

The spelling of 103920 in words is "one hundred three thousand, nine hundred twenty".