10205923 has 8 divisors (see below), whose sum is σ = 12561248. Its totient is φ = 8074944.

The previous prime is 10205873. The next prime is 10205927. The reversal of 10205923 is 32950201.

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 10205923 - 2⁹ = 10205411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10205894 and 10205903.

It is not an unprimeable number, because it can be changed into a prime (10205927) 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, 55986 + ... + 56167.

It is an arithmetic number, because the mean of its divisors is an integer number (1570156).

Almost surely, 2^10205923 is an apocalyptic number.

10205923 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10205923 is a deficient number, since it is larger than the sum of its proper divisors (2355325).

10205923 is a wasteful number, since it uses less digits than its factorization.

10205923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112173.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 10205923 is about 3194.6710315774. The cubic root of 10205923 is about 216.9122582689.

The spelling of 10205923 in words is "ten million, two hundred five thousand, nine hundred twenty-three".