103819 has 8 divisors (see below), whose sum is σ = 114048. Its totient is φ = 94080.

The previous prime is 103813. The next prime is 103837. The reversal of 103819 is 918301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103819 - 2³ = 103811 is a prime.

It is a super-2 number, since 2×103819² = 21556769522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103819.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2¹⁰³⁸¹⁹ is an apocalyptic number.

103819 is a deficient number, since it is larger than the sum of its proper divisors (10229).

103819 is a wasteful number, since it uses less digits than its factorization.

103819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 103819 is about 322.2095591381. The cubic root of 103819 is about 46.9993964009. Note that the first 3 decimals are identical.

The spelling of 103819 in words is "one hundred three thousand, eight hundred nineteen".