10205480 has 16 divisors (see below), whose sum is σ = 22962420. Its totient is φ = 4082176.

The previous prime is 10205449. The next prime is 10205497. The reversal of 10205480 is 8450201.

10205480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10201636 + 3844 = 3194^2 + 62^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127529 + ... + 127608.

Almost surely, 2^10205480 is an apocalyptic number.

10205480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205480 is an abundant number, since it is smaller than the sum of its proper divisors (12756940).

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

10205480 is a wasteful number, since it uses less digits than its factorization.

10205480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255148 (or 255144 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10205480 is about 3194.6016966126. The cubic root of 10205480 is about 216.9091197803.

Adding to 10205480 its reverse (8450201), we get a palindrome (18655681).

The spelling of 10205480 in words is "ten million, two hundred five thousand, four hundred eighty".