100908990 has 240 divisors, whose sum is σ = 343217952. Its totient is φ = 20715264.

The previous prime is 100908989. The next prime is 100909013. The reversal of 100908990 is 99809001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2727252 + ... + 2727288.

Almost surely, 2^100908990 is an apocalyptic number.

100908990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100908990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171608976).

100908990 is an abundant number, since it is smaller than the sum of its proper divisors (242308962).

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

100908990 is a wasteful number, since it uses less digits than its factorization.

100908990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 100908990 is about 10045.3466839129. The cubic root of 100908990 is about 465.5610293932.

The spelling of 100908990 in words is "one hundred million, nine hundred eight thousand, nine hundred ninety".