100312223 has 32 divisors (see below), whose sum is σ = 122798592. Its totient is φ = 80819200.

The previous prime is 100312151. The next prime is 100312253. The reversal of 100312223 is 322213001.

It is a happy number.

It is not a de Polignac number, because 100312223 - 2¹⁰ = 100311199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100312198 and 100312207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356843 + ... + 357123.

It is an arithmetic number, because the mean of its divisors is an integer number (3837456).

Almost surely, 2^100312223 is an apocalyptic number.

100312223 is a deficient number, since it is larger than the sum of its proper divisors (22486369).

100312223 is a wasteful number, since it uses less digits than its factorization.

100312223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

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

The square root of 100312223 is about 10015.5989835856. The cubic root of 100312223 is about 464.6414517428.

Adding to 100312223 its reverse (322213001), we get a palindrome (422525224).

The spelling of 100312223 in words is "one hundred million, three hundred twelve thousand, two hundred twenty-three".