1005480100 has 36 divisors (see below), whose sum is σ = 2211796804. Its totient is φ = 396679680.

The previous prime is 1005480089. The next prime is 1005480103. The reversal of 1005480100 is 10845001.

It can be written as a sum of positive squares in 6 ways, for example, as 49928356 + 955551744 = 7066^2 + 30912^2 .

It is not an unprimeable number, because it can be changed into a prime (1005480103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61569 + ... + 76168.

Almost surely, 2^1005480100 is an apocalyptic number.

1005480100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005480100 is an abundant number, since it is smaller than the sum of its proper divisors (1206316704).

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

1005480100 is a wasteful number, since it uses less digits than its factorization.

1005480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137824 (or 137817 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1005480100 is about 31709.3062049613. The cubic root of 1005480100 is about 1001.8233732891.

The spelling of 1005480100 in words is "one billion, five million, four hundred eighty thousand, one hundred".