100332223008 has 96 divisors (see below), whose sum is σ = 267208704000. Its totient is φ = 32960390400.

The previous prime is 100332222979. The next prime is 100332223009. The reversal of 100332223008 is 800322233001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100332223009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813743 + ... + 1868241.

It is an arithmetic number, because the mean of its divisors is an integer number (2783424000).

Almost surely, 2^100332223008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100332223008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133604352000).

100332223008 is an abundant number, since it is smaller than the sum of its proper divisors (166876480992).

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

100332223008 is a wasteful number, since it uses less digits than its factorization.

100332223008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54790 (or 54782 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100332223008 its reverse (800322233001), we get a palindrome (900654456009).

The spelling of 100332223008 in words is "one hundred billion, three hundred thirty-two million, two hundred twenty-three thousand, eight".