100005227 has 24 divisors (see below), whose sum is σ = 123393600. Its totient is φ = 80586576.

The previous prime is 100005197. The next prime is 100005239. The reversal of 100005227 is 722500001.

It is not a de Polignac number, because 100005227 - 2¹² = 100001131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100005527) 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 23 ways as a sum of consecutive naturals, for example, 151424 + ... + 152082.

It is an arithmetic number, because the mean of its divisors is an integer number (5141400).

Almost surely, 2^100005227 is an apocalyptic number.

100005227 is a deficient number, since it is larger than the sum of its proper divisors (23388373).

100005227 is a wasteful number, since it uses less digits than its factorization.

100005227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 100005227 is about 10000.2613465849. The cubic root of 100005227 is about 464.1669704153.

Adding to 100005227 its reverse (722500001), we get a palindrome (822505228).

The spelling of 100005227 in words is "one hundred million, five thousand, two hundred twenty-seven".