1008668100 has 216 divisors, whose sum is σ = 3298927744. Its totient is φ = 237600000.

The previous prime is 1008668093. The next prime is 1008668107. The reversal of 1008668100 is 18668001.

1008668100 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 (1008668093) and next prime (1008668107).

It is a super-2 number, since 2×1008668100² = 2034822671915220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1008668107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1342725 + ... + 1343475.

Almost surely, 2^1008668100 is an apocalyptic number.

1008668100 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 1008668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649463872).

1008668100 is an abundant number, since it is smaller than the sum of its proper divisors (2290259644).

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

1008668100 is a wasteful number, since it uses less digits than its factorization.

1008668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1008668100 is about 31759.5355759495. The cubic root of 1008668100 is about 1002.8810581989.

Subtracting from 1008668100 its reverse (18668001), we obtain a palindrome (990000099).

The spelling of 1008668100 in words is "one billion, eight million, six hundred sixty-eight thousand, one hundred".