100439808 has 216 divisors, whose sum is σ = 331348752. Its totient is φ = 26836992.

The previous prime is 100439803. The next prime is 100439819. The reversal of 100439808 is 808934001.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100439803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639666 + ... + 639822.

It is an arithmetic number, because the mean of its divisors is an integer number (1534022).

Almost surely, 2^100439808 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 100439808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165674376).

100439808 is an abundant number, since it is smaller than the sum of its proper divisors (230908944).

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

100439808 is a wasteful number, since it uses less digits than its factorization.

100439808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 100439808 is about 10021.9662741400. The cubic root of 100439808 is about 464.8383575061.

The spelling of 100439808 in words is "one hundred million, four hundred thirty-nine thousand, eight hundred eight".