23134432100 has 72 divisors (see below), whose sum is σ = 54621040488. Its totient is φ = 8453836800.

The previous prime is 23134432043. The next prime is 23134432103. The reversal of 23134432100 is 123443132.

It can be written as a sum of positive squares in 12 ways, for example, as 7653100324 + 15481331776 = 87482^2 + 124424^2 .

It is not an unprimeable number, because it can be changed into a prime (23134432103) 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, 34370 + ... + 217830.

Almost surely, 2^23134432100 is an apocalyptic number.

23134432100 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 23134432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310520244).

23134432100 is an abundant number, since it is smaller than the sum of its proper divisors (31486608388).

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

23134432100 is a wasteful number, since it uses less digits than its factorization.

23134432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183585 (or 183578 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 23134432100 its reverse (123443132), we get a palindrome (23257875232).

The spelling of 23134432100 in words is "twenty-three billion, one hundred thirty-four million, four hundred thirty-two thousand, one hundred".