100267889 has 2 divisors, whose sum is σ = 100267890. Its totient is φ = 100267888.

The previous prime is 100267831. The next prime is 100267907. The reversal of 100267889 is 988762001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99600400 + 667489 = 9980^2 + 817^2 .

It is a cyclic number.

It is not a de Polignac number, because 100267889 - 2¹⁶ = 100202353 is a prime.

It is not a weakly prime, because it can be changed into another prime (100267829) 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 as a sum of consecutive naturals, namely, 50133944 + 50133945.

It is an arithmetic number, because the mean of its divisors is an integer number (50133945).

Almost surely, 2^100267889 is an apocalyptic number.

It is an amenable number.

100267889 is a deficient number, since it is larger than the sum of its proper divisors (1).

100267889 is an equidigital number, since it uses as much as digits as its factorization.

100267889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 100267889 is about 10013.3854914310. The cubic root of 100267889 is about 464.5729906622.

The spelling of 100267889 in words is "one hundred million, two hundred sixty-seven thousand, eight hundred eighty-nine".