100809408 has 112 divisors (see below), whose sum is σ = 308116224. Its totient is φ = 28492800.

The previous prime is 100809353. The next prime is 100809409. The reversal of 100809408 is 804908001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (100809409) 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, 143458 + ... + 144158.

Almost surely, 2^100809408 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 100809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058112).

100809408 is an abundant number, since it is smaller than the sum of its proper divisors (207306816).

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

100809408 is a wasteful number, since it uses less digits than its factorization.

100809408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 100809408 is about 10040.3888370919. The cubic root of 100809408 is about 465.4078327440.

The spelling of 100809408 in words is "one hundred million, eight hundred nine thousand, four hundred eight".