103822 has 16 divisors (see below), whose sum is σ = 169632. Its totient is φ = 47520.

The previous prime is 103813. The next prime is 103837. The reversal of 103822 is 228301.

It is a happy number.

It is a Cunningham number, because it is equal to 47³-1.

It is a junction number, because it is equal to n+sod(n) for n = 103796 and 103805.

It is a congruent number.

It is an unprimeable number.

103822 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, 1672 + ... + 1732.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁰³⁸²² is an apocalyptic number.

103822 is a deficient number, since it is larger than the sum of its proper divisors (65810).

103822 is a wasteful number, since it uses less digits than its factorization.

103822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 103822 is about 322.2142144599. The cubic root of 103822 is about 46.9998491017. Note that the first 3 decimals are identical.

It can be divided in two parts, 103 and 822, that multiplied together give a triangular number (84666 = T₄₁₁).

The spelling of 103822 in words is "one hundred three thousand, eight hundred twenty-two".