100066208 has 48 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 45273600.

The previous prime is 100066207. The next prime is 100066231. The reversal of 100066208 is 802660001.

It is not an unprimeable number, because it can be changed into a prime (100066207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94868 + ... + 95916.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^100066208 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 100066208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

100066208 is an abundant number, since it is smaller than the sum of its proper divisors (115847392).

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

100066208 is a wasteful number, since it uses less digits than its factorization.

100066208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 100066208 is about 10003.3098522439. The cubic root of 100066208 is about 464.2612975336.

The spelling of 100066208 in words is "one hundred million, sixty-six thousand, two hundred eight".