100223312 has 40 divisors (see below), whose sum is σ = 223027392. Its totient is φ = 42739200.

The previous prime is 100223293. The next prime is 100223323. The reversal of 100223312 is 213322001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21512 + ... + 25752.

Almost surely, 2^100223312 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 100223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111513696).

100223312 is an abundant number, since it is smaller than the sum of its proper divisors (122804080).

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

100223312 is a wasteful number, since it uses less digits than its factorization.

100223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100223312 is about 10011.1593734192. The cubic root of 100223312 is about 464.5041339885.

Adding to 100223312 its reverse (213322001), we get a palindrome (313545313).

The spelling of 100223312 in words is "one hundred million, two hundred twenty-three thousand, three hundred twelve".