9106116600 has 192 divisors, whose sum is σ = 32791472640. Its totient is φ = 2047219200.

The previous prime is 9106116563. The next prime is 9106116601. The reversal of 9106116600 is 66116019.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9106116601) 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, 238429 + ... + 273971.

It is an arithmetic number, because the mean of its divisors is an integer number (170788920).

Almost surely, 2^9106116600 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 9106116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395736320).

9106116600 is an abundant number, since it is smaller than the sum of its proper divisors (23685356040).

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

9106116600 is a wasteful number, since it uses less digits than its factorization.

9106116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35630 (or 35621 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 9106116600 is about 95425.9744514040. The cubic root of 9106116600 is about 2088.2271390870.

The spelling of 9106116600 in words is "nine billion, one hundred six million, one hundred sixteen thousand, six hundred".