9100900896 has 96 divisors (see below), whose sum is σ = 25171372800. Its totient is φ = 2871210240.

The previous prime is 9100900891. The next prime is 9100900903. The reversal of 9100900896 is 6980090019.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (9100900891) 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, 2790915 + ... + 2794173.

It is an arithmetic number, because the mean of its divisors is an integer number (262201800).

Almost surely, 2^9100900896 is an apocalyptic number.

9100900896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9100900896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585686400).

9100900896 is an abundant number, since it is smaller than the sum of its proper divisors (16070471904).

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

9100900896 is a wasteful number, since it uses less digits than its factorization.

9100900896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 9100900896 is about 95398.6420029132. The cubic root of 9100900896 is about 2087.8283721469.

The spelling of 9100900896 in words is "nine billion, one hundred million, nine hundred thousand, eight hundred ninety-six".