100033027 has 2 divisors, whose sum is σ = 100033028. Its totient is φ = 100033026.

The previous prime is 100033013. The next prime is 100033057. The reversal of 100033027 is 720330001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100033027 - 2¹⁵ = 100000259 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100033027.

It is not a weakly prime, because it can be changed into another prime (100033057) 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 as a sum of consecutive naturals, namely, 50016513 + 50016514.

It is an arithmetic number, because the mean of its divisors is an integer number (50016514).

Almost surely, 2^100033027 is an apocalyptic number.

100033027 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033027 is an equidigital number, since it uses as much as digits as its factorization.

100033027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 100033027 is about 10001.6512136747. The cubic root of 100033027 is about 464.2099769883.

Adding to 100033027 its reverse (720330001), we get a palindrome (820363028).

The spelling of 100033027 in words is "one hundred million, thirty-three thousand, twenty-seven".