103812 has 24 divisors (see below), whose sum is σ = 249312. Its totient is φ = 33600.

The previous prime is 103811. The next prime is 103813. The reversal of 103812 is 218301.

It is a happy number.

103812 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (103811) and next prime (103813).

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

It is a junction number, because it is equal to n+sod(n) for n = 103791 and 103800.

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

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, 387 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (10388).

2¹⁰³⁸¹² is an apocalyptic number.

103812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103812 is an abundant number, since it is smaller than the sum of its proper divisors (145500).

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

103812 is a wasteful number, since it uses less digits than its factorization.

103812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

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

The square root of 103812 is about 322.1986964592. The cubic root of 103812 is about 46.9983400651.

The spelling of 103812 in words is "one hundred three thousand, eight hundred twelve".