100223004960 has 576 divisors, whose sum is σ = 402605199360. Its totient is φ = 22467870720.

The previous prime is 100223004887. The next prime is 100223004961. The reversal of 100223004960 is 69400322001.

It is not an unprimeable number, because it can be changed into a prime (100223004961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9860361 + ... + 9870519.

It is an arithmetic number, because the mean of its divisors is an integer number (698967360).

Almost surely, 2^100223004960 is an apocalyptic number.

100223004960 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 100223004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201302599680).

100223004960 is an abundant number, since it is smaller than the sum of its proper divisors (302382194400).

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

100223004960 is a wasteful number, since it uses less digits than its factorization.

100223004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10241 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 100223004960 its reverse (69400322001), we get a palindrome (169623326961).

The spelling of 100223004960 in words is "one hundred billion, two hundred twenty-three million, four thousand, nine hundred sixty".