100218008 has 48 divisors (see below), whose sum is σ = 217455000. Its totient is φ = 43148160.

The previous prime is 100217987. The next prime is 100218011. The reversal of 100218008 is 800812001.

It is a congruent number.

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, 15668 + ... + 21116.

Almost surely, 2^100218008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100218008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108727500).

100218008 is an abundant number, since it is smaller than the sum of its proper divisors (117236992).

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

100218008 is a wasteful number, since it uses less digits than its factorization.

100218008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 100218008 is about 10010.8944655310. The cubic root of 100218008 is about 464.4959397094.

The spelling of 100218008 in words is "one hundred million, two hundred eighteen thousand, eight".