103730 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 35200.

The previous prime is 103723. The next prime is 103769. The reversal of 103730 is 37301.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103730.

It is an unprimeable number.

103730 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 15 ways as a sum of consecutive naturals, for example, 2510 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2¹⁰³⁷³⁰ is an apocalyptic number.

103730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103730 is an abundant number, since it is smaller than the sum of its proper divisors (113998).

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

103730 is a wasteful number, since it uses less digits than its factorization.

103730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 103730 is about 322.0714206508. The cubic root of 103730 is about 46.9859623084.

The spelling of 103730 in words is "one hundred three thousand, seven hundred thirty".