9618100900 has 72 divisors (see below), whose sum is σ = 21871100160. Its totient is φ = 3664362240.

The previous prime is 9618100871. The next prime is 9618100909. The reversal of 9618100900 is 90018169.

It is not an unprimeable number, because it can be changed into a prime (9618100909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540952 + ... + 558448.

It is an arithmetic number, because the mean of its divisors is an integer number (303765280).

Almost surely, 2^9618100900 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 9618100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10935550080).

9618100900 is an abundant number, since it is smaller than the sum of its proper divisors (12252999260).

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

9618100900 is a wasteful number, since it uses less digits than its factorization.

9618100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17773 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 9618100900 is about 98071.9169793270. The cubic root of 9618100900 is about 2126.6520689090.

The spelling of 9618100900 in words is "nine billion, six hundred eighteen million, one hundred thousand, nine hundred".