23102134400 has 96 divisors (see below), whose sum is σ = 58037245200. Its totient is φ = 9084154880.

The previous prime is 23102134397. The next prime is 23102134441. The reversal of 23102134400 is 443120132.

It is a super-2 number, since 2×23102134400² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 127619 + ... + 249981.

Almost surely, 2^23102134400 is an apocalyptic number.

23102134400 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 23102134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29018622600).

23102134400 is an abundant number, since it is smaller than the sum of its proper divisors (34935110800).

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

23102134400 is a wasteful number, since it uses less digits than its factorization.

23102134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122446 (or 122429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23102134400 its reverse (443120132), we get a palindrome (23545254532).

The spelling of 23102134400 in words is "twenty-three billion, one hundred two million, one hundred thirty-four thousand, four hundred".