108819 has 12 divisors (see below), whose sum is σ = 160056. Its totient is φ = 71232.

The previous prime is 108803. The next prime is 108821. The reversal of 108819 is 918801.

108819 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 108819 - 2⁴ = 108803 is a prime.

It is a super-2 number, since 2×108819² = 23683149522, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 108792 and 108801.

It is not an unprimeable number, because it can be changed into a prime (108869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (13338).

2¹⁰⁸⁸¹⁹ is an apocalyptic number.

108819 is a deficient number, since it is larger than the sum of its proper divisors (51237).

108819 is a wasteful number, since it uses less digits than its factorization.

108819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 108819 is about 329.8772498976. The cubic root of 108819 is about 47.7421064591.

The spelling of 108819 in words is "one hundred eight thousand, eight hundred nineteen".