100909116 has 144 divisors (see below), whose sum is σ = 323930880. Its totient is φ = 25724160.

The previous prime is 100909111. The next prime is 100909117. The reversal of 100909116 is 611909001.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100909116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100909111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163240 + ... + 163856.

It is an arithmetic number, because the mean of its divisors is an integer number (2249520).

Almost surely, 2^100909116 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 100909116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161965440).

100909116 is an abundant number, since it is smaller than the sum of its proper divisors (223021764).

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

100909116 is a wasteful number, since it uses less digits than its factorization.

100909116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 100909116 is about 10045.3529554715. The cubic root of 100909116 is about 465.5612231673.

It can be divided in two parts, 100909 and 116, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100909116 in words is "one hundred million, nine hundred nine thousand, one hundred sixteen".