100022312 has 48 divisors (see below), whose sum is σ = 204755040. Its totient is φ = 45784128.

The previous prime is 100022311. The next prime is 100022323. The reversal of 100022312 is 213220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100022293 and 100022302.

It is not an unprimeable number, because it can be changed into a prime (100022311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 225563 + ... + 226005.

It is an arithmetic number, because the mean of its divisors is an integer number (4265730).

Almost surely, 2^100022312 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 100022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102377520).

100022312 is an abundant number, since it is smaller than the sum of its proper divisors (104732728).

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

100022312 is a wasteful number, since it uses less digits than its factorization.

100022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100022312 is about 10001.1155377788. The cubic root of 100022312 is about 464.1934018375.

Adding to 100022312 its reverse (213220001), we get a palindrome (313242313).

The spelling of 100022312 in words is "one hundred million, twenty-two thousand, three hundred twelve".