23105253200 has 120 divisors (see below), whose sum is σ = 56322288000. Its totient is φ = 9107873280.

The previous prime is 23105253181. The next prime is 23105253203. The reversal of 23105253200 is 235250132.

It is a super-2 number, since 2×23105253200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105253203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8675069 + ... + 8677731.

It is an arithmetic number, because the mean of its divisors is an integer number (469352400).

Almost surely, 2^23105253200 is an apocalyptic number.

23105253200 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 23105253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161144000).

23105253200 is an abundant number, since it is smaller than the sum of its proper divisors (33217034800).

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

23105253200 is a wasteful number, since it uses less digits than its factorization.

23105253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 23105253200 in words is "twenty-three billion, one hundred five million, two hundred fifty-three thousand, two hundred".