103780 has 12 divisors (see below), whose sum is σ = 217980. Its totient is φ = 41504.

The previous prime is 103769. The next prime is 103787. The reversal of 103780 is 87301.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 43264 = 246^2 + 208^2 .

It is not an unprimeable number, because it can be changed into a prime (103787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2575 + ... + 2614.

It is an arithmetic number, because the mean of its divisors is an integer number (18165).

2¹⁰³⁷⁸⁰ is an apocalyptic number.

103780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103780 is an abundant number, since it is smaller than the sum of its proper divisors (114200).

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

103780 is a wasteful number, since it uses less digits than its factorization.

103780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 103780 is about 322.1490338337. The cubic root of 103780 is about 46.9935104968.

The spelling of 103780 in words is "one hundred three thousand, seven hundred eighty".