1008968100 has 72 divisors (see below), whose sum is σ = 3336328128. Its totient is φ = 230620800.

The previous prime is 1008968099. The next prime is 1008968119. The reversal of 1008968100 is 18698001.

It is a super-2 number, since 2×1008968100² = 2036033253635220000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 238131 + ... + 242330.

Almost surely, 2^1008968100 is an apocalyptic number.

1008968100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008968100 is an abundant number, since it is smaller than the sum of its proper divisors (2327360028).

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

1008968100 is a wasteful number, since it uses less digits than its factorization.

1008968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480485 (or 480478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1008968100 is about 31764.2582157997. The cubic root of 1008968100 is about 1002.9804746123.

The spelling of 1008968100 in words is "one billion, eight million, nine hundred sixty-eight thousand, one hundred".