100100208 has 80 divisors (see below), whose sum is σ = 293175680. Its totient is φ = 29175552.

The previous prime is 100100197. The next prime is 100100239. The reversal of 100100208 is 802001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100100193 and 100100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7635 + ... + 16077.

It is an arithmetic number, because the mean of its divisors is an integer number (3664696).

Almost surely, 2^100100208 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 100100208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146587840).

100100208 is an abundant number, since it is smaller than the sum of its proper divisors (193075472).

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

100100208 is a wasteful number, since it uses less digits than its factorization.

100100208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 100100208 is about 10005.0091454231. The cubic root of 100100208 is about 464.3138730467.

Adding to 100100208 its reverse (802001001), we get a palindrome (902101209).

The spelling of 100100208 in words is "one hundred million, one hundred thousand, two hundred eight".