9100910100 has 72 divisors (see below), whose sum is σ = 26445182400. Its totient is φ = 2416474880.

The previous prime is 9100910087. The next prime is 9100910107. The reversal of 9100910100 is 10190019.

9100910100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9100910107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4801 + ... + 134999.

It is an arithmetic number, because the mean of its divisors is an integer number (367294200).

Almost surely, 2^9100910100 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 9100910100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222591200).

9100910100 is an abundant number, since it is smaller than the sum of its proper divisors (17344272300).

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

9100910100 is a wasteful number, since it uses less digits than its factorization.

9100910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130449 (or 130442 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 9100910100 is about 95398.6902425814. The cubic root of 9100910100 is about 2087.8290759734.

The spelling of 9100910100 in words is "nine billion, one hundred million, nine hundred ten thousand, one hundred".