100023023200 has 144 divisors (see below), whose sum is σ = 248485345920. Its totient is φ = 39308267520.

The previous prime is 100023023197. The next prime is 100023023213. The reversal of 100023023200 is 2320320001.

It is a happy number.

It is a congruent number.

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, 15706417 + ... + 15712783.

It is an arithmetic number, because the mean of its divisors is an integer number (1725592680).

Almost surely, 2^100023023200 is an apocalyptic number.

100023023200 is a gapful number since it is divisible by the number (10) 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 100023023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124242672960).

100023023200 is an abundant number, since it is smaller than the sum of its proper divisors (148462322720).

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

100023023200 is a wasteful number, since it uses less digits than its factorization.

100023023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 100023023200 its reverse (2320320001), we get a palindrome (102343343201).

The spelling of 100023023200 in words is "one hundred billion, twenty-three million, twenty-three thousand, two hundred".