100199080 has 64 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 38668800.

The previous prime is 100199059. The next prime is 100199083. The reversal of 100199080 is 80991001.

It is not an unprimeable number, because it can be changed into a prime (100199083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175195 + ... + 175765.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 2^100199080 is an apocalyptic number.

100199080 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 100199080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

100199080 is an abundant number, since it is smaller than the sum of its proper divisors (133314200).

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

100199080 is a wasteful number, since it uses less digits than its factorization.

100199080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 100199080 is about 10009.9490508194. The cubic root of 100199080 is about 464.4666950227.

The spelling of 100199080 in words is "one hundred million, one hundred ninety-nine thousand, eighty".