10505823 has 8 divisors (see below), whose sum is σ = 14025648. Its totient is φ = 6994944.

The previous prime is 10505797. The next prime is 10505837. The reversal of 10505823 is 32850501.

10505823 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10505823 - 2⁵ = 10505791 is a prime.

It is a super-2 number, since 2×10505823² = 220744633814658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505793 and 10505802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505893) 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, 1311 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (1753206).

Almost surely, 2^10505823 is an apocalyptic number.

10505823 is a deficient number, since it is larger than the sum of its proper divisors (3519825).

10505823 is a wasteful number, since it uses less digits than its factorization.

10505823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10505823 is about 3241.2687330735. The cubic root of 10505823 is about 219.0164287836.

The spelling of 10505823 in words is "ten million, five hundred five thousand, eight hundred twenty-three".