1008448100 has 36 divisors (see below), whose sum is σ = 2387274288. Its totient is φ = 366708000.

The previous prime is 1008448099. The next prime is 1008448153. The reversal of 1008448100 is 18448001.

1008448100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1008448100² = 2033935140787220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1008448100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457286 + ... + 459485.

Almost surely, 2^1008448100 is an apocalyptic number.

1008448100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008448100 is an abundant number, since it is smaller than the sum of its proper divisors (1378826188).

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

1008448100 is a wasteful number, since it uses less digits than its factorization.

1008448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916796 (or 916789 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 1008448100 is about 31756.0718603545. The cubic root of 1008448100 is about 1002.8081403000.

Subtracting from 1008448100 its reverse (18448001), we obtain a palindrome (990000099).

The spelling of 1008448100 in words is "one billion, eight million, four hundred forty-eight thousand, one hundred".