23105313200 has 120 divisors (see below), whose sum is σ = 56323395072. Its totient is φ = 9107804160.

The previous prime is 23105313197. The next prime is 23105313211. The reversal of 23105313200 is 231350132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7974152 + ... + 7977048.

Almost surely, 2^23105313200 is an apocalyptic number.

23105313200 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 23105313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161697536).

23105313200 is an abundant number, since it is smaller than the sum of its proper divisors (33218081872).

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

23105313200 is a wasteful number, since it uses less digits than its factorization.

23105313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 23105313200 its reverse (231350132), we get a palindrome (23336663332).

The spelling of 23105313200 in words is "twenty-three billion, one hundred five million, three hundred thirteen thousand, two hundred".