10205448 has 128 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 2822400.

The previous prime is 10205441. The next prime is 10205449. The reversal of 10205448 is 84450201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237315 + ... + 237357.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 2^10205448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

10205448 is an abundant number, since it is smaller than the sum of its proper divisors (20207352).

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

10205448 is a wasteful number, since it uses less digits than its factorization.

10205448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10205448 is about 3194.5966881596. The cubic root of 10205448 is about 216.9088930688.

Adding to 10205448 its reverse (84450201), we get a palindrome (94655649).

The spelling of 10205448 in words is "ten million, two hundred five thousand, four hundred forty-eight".