103810 has 16 divisors (see below), whose sum is σ = 213696. Its totient is φ = 35568.

The previous prime is 103801. The next prime is 103811. The reversal of 103810 is 18301.

It is a super-2 number, since 2×103810² = 21553032200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103811) by changing a digit.

103810 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 7 ways as a sum of consecutive naturals, for example, 672 + ... + 811.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2¹⁰³⁸¹⁰ is an apocalyptic number.

103810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103810 is an abundant number, since it is smaller than the sum of its proper divisors (109886).

It is a weird number, because it is abundant, but not a pseudoperfect number.

103810 is a wasteful number, since it uses less digits than its factorization.

103810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 103810 is about 322.1955927694. The cubic root of 103810 is about 46.9980382462.

Adding to 103810 its sum of digits (13), we get a cube (103823 = 47³).

The spelling of 103810 in words is "one hundred three thousand, eight hundred ten".