10205920 has 48 divisors (see below), whose sum is σ = 24303888. Its totient is φ = 4049920.

The previous prime is 10205873. The next prime is 10205927. The reversal of 10205920 is 2950201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205927) 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, 36180 + ... + 36460.

It is an arithmetic number, because the mean of its divisors is an integer number (506331).

Almost surely, 2^10205920 is an apocalyptic number.

10205920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12151944).

10205920 is an abundant number, since it is smaller than the sum of its proper divisors (14097968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10205920 is a wasteful number, since it uses less digits than its factorization.

10205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10205920 is about 3194.6705620455. The cubic root of 10205920 is about 216.9122370154.

The spelling of 10205920 in words is "ten million, two hundred five thousand, nine hundred twenty".