100022223 has 16 divisors (see below), whose sum is σ = 154691840. Its totient is φ = 56301696.

The previous prime is 100022201. The next prime is 100022227. The reversal of 100022223 is 322220001.

It is not a de Polignac number, because 100022223 - 2⁹ = 100021711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022199 and 100022208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34138 + ... + 36951.

It is an arithmetic number, because the mean of its divisors is an integer number (9668240).

Almost surely, 2^100022223 is an apocalyptic number.

100022223 is a deficient number, since it is larger than the sum of its proper divisors (54669617).

100022223 is an equidigital number, since it uses as much as digits as its factorization.

100022223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71166.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100022223 is about 10001.1110882741. Note that the first 3 decimals coincide. The cubic root of 100022223 is about 464.1932641575.

Adding to 100022223 its reverse (322220001), we get a palindrome (422242224).

It can be divided in two parts, 10002 and 2223, that multiplied together give a triangular number (22234446 = T₆₆₆₈).

The spelling of 100022223 in words is "one hundred million, twenty-two thousand, two hundred twenty-three".