103585823 has 8 divisors (see below), whose sum is σ = 113097936. Its totient is φ = 94089600.

The previous prime is 103585817. The next prime is 103585831. The reversal of 103585823 is 328585301.

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

It is not a de Polignac number, because 103585823 - 2¹⁰ = 103584799 is a prime.

It is a super-3 number, since 3×103585823³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103585723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12743 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (14137242).

Almost surely, 2^103585823 is an apocalyptic number.

103585823 is a deficient number, since it is larger than the sum of its proper divisors (9512113).

103585823 is a wasteful number, since it uses less digits than its factorization.

103585823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945.

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 103585823 is about 10177.7120709912. The cubic root of 103585823 is about 469.6418321491.

The spelling of 103585823 in words is "one hundred three million, five hundred eighty-five thousand, eight hundred twenty-three".