10480900 has 36 divisors (see below), whose sum is σ = 22918672. Its totient is φ = 4160160.

The previous prime is 10480889. The next prime is 10480901. The reversal of 10480900 is 908401.

It is not an unprimeable number, because it can be changed into a prime (10480901) 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 11 ways as a sum of consecutive naturals, for example, 15979 + ... + 16621.

Almost surely, 2^10480900 is an apocalyptic number.

10480900 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 10480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459336).

10480900 is an abundant number, since it is smaller than the sum of its proper divisors (12437772).

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

10480900 is a wasteful number, since it uses less digits than its factorization.

10480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10480900 is about 3237.4218137277. The cubic root of 10480900 is about 218.8431005066.

The spelling of 10480900 in words is "ten million, four hundred eighty thousand, nine hundred".