103720 has 16 divisors (see below), whose sum is σ = 233460. Its totient is φ = 41472.

The previous prime is 103703. The next prime is 103723. The reversal of 103720 is 27301.

103720 = T₁₃₉ + T₁₄₀ + ... + T₁₄₈.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 36 = 322^2 + 6^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103720.

It is not an unprimeable number, because it can be changed into a prime (103723) by changing a digit.

103720 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, 1257 + ... + 1336.

2¹⁰³⁷²⁰ is an apocalyptic number.

103720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103720 is an abundant number, since it is smaller than the sum of its proper divisors (129740).

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

103720 is a wasteful number, since it uses less digits than its factorization.

103720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 103720 is about 322.0558957697. The cubic root of 103720 is about 46.9844523797.

The spelling of 103720 in words is "one hundred three thousand, seven hundred twenty", and thus it is an iban number.