123810 has 16 divisors (see below), whose sum is σ = 297216. Its totient is φ = 33008.

The previous prime is 123803. The next prime is 123817. The reversal of 123810 is 18321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123803) and next prime (123817).

It is a super-2 number, since 2×123810² = 30657832200, which contains 22 as substring.

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

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 123810.

It is not an unprimeable number, because it can be changed into a prime (123817) by changing a digit.

123810 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 7 ways as a sum of consecutive naturals, for example, 2034 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (18576).

2¹²³⁸¹⁰ is an apocalyptic number.

123810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123810 is an abundant number, since it is smaller than the sum of its proper divisors (173406).

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

123810 is a wasteful number, since it uses less digits than its factorization.

123810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 123810 is about 351.8664519388. The cubic root of 123810 is about 49.8408271511.

The spelling of 123810 in words is "one hundred twenty-three thousand, eight hundred ten".