10005480 has 48 divisors (see below), whose sum is σ = 32518980. Its totient is φ = 2668032.

The previous prime is 10005473. The next prime is 10005487. The reversal of 10005480 is 8450001.

10005480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005473) and next prime (10005487).

It can be written as a sum of positive squares in 2 ways, for example, as 8608356 + 1397124 = 2934^2 + 1182^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10005487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13537 + ... + 14256.

Almost surely, 2^10005480 is an apocalyptic number.

10005480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005480 is an abundant number, since it is smaller than the sum of its proper divisors (22513500).

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

10005480 is a wasteful number, since it uses less digits than its factorization.

10005480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27810 (or 27803 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10005480 is about 3163.1440055742. The cubic root of 10005480 is about 215.4828161570.

Adding to 10005480 its reverse (8450001), we get a palindrome (18455481).

The spelling of 10005480 in words is "ten million, five thousand, four hundred eighty".