23110332100 has 72 divisors (see below), whose sum is σ = 53456344200. Its totient is φ = 8641873920.

The previous prime is 23110332097. The next prime is 23110332109. The reversal of 23110332100 is 123301132.

It can be written as a sum of positive squares in 12 ways, for example, as 14107738176 + 9002593924 = 118776^2 + 94882^2 .

It is not an unprimeable number, because it can be changed into a prime (23110332109) 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 23 ways as a sum of consecutive naturals, for example, 207682 + ... + 298918.

It is an arithmetic number, because the mean of its divisors is an integer number (742449225).

Almost surely, 2^23110332100 is an apocalyptic number.

23110332100 is a gapful number since it is divisible by the number (20) 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 23110332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26728172100).

23110332100 is an abundant number, since it is smaller than the sum of its proper divisors (30346012100).

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

23110332100 is a wasteful number, since it uses less digits than its factorization.

23110332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91417 (or 91410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23110332100 its reverse (123301132), we get a palindrome (23233633232).

The spelling of 23110332100 in words is "twenty-three billion, one hundred ten million, three hundred thirty-two thousand, one hundred".