9100000100 has 36 divisors (see below), whose sum is σ = 19780429284. Its totient is φ = 3633838080.

The previous prime is 9100000093. The next prime is 9100000109. The reversal of 9100000100 is 10000019.

It can be written as a sum of positive squares in 6 ways, for example, as 545969956 + 8554030144 = 23366^2 + 92488^2 .

It is not an unprimeable number, because it can be changed into a prime (9100000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17429 + ... + 136028.

It is an arithmetic number, because the mean of its divisors is an integer number (549456369).

Almost surely, 2^9100000100 is an apocalyptic number.

It is an amenable number.

9100000100 is an abundant number, since it is smaller than the sum of its proper divisors (10680429184).

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

9100000100 is a wasteful number, since it uses less digits than its factorization.

9100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154064 (or 154057 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 9100000100 is about 95393.9206658370. The cubic root of 9100000100 is about 2087.7594863109.

Adding to 9100000100 its reverse (10000019), we get a palindrome (9110000119).

The spelling of 9100000100 in words is "nine billion, one hundred million, one hundred", and thus it is an aban number.