100016641 has 2 divisors, whose sum is σ = 100016642. Its totient is φ = 100016640.

The previous prime is 100016599. The next prime is 100016659. The reversal of 100016641 is 146610001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100000000 + 16641 = 10000^2 + 129^2 .

It is a cyclic number.

It is not a de Polignac number, because 100016641 - 2⁹ = 100016129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100016941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50008320 + 50008321.

It is an arithmetic number, because the mean of its divisors is an integer number (50008321).

Almost surely, 2^100016641 is an apocalyptic number.

It is an amenable number.

100016641 is a deficient number, since it is larger than the sum of its proper divisors (1).

100016641 is an equidigital number, since it uses as much as digits as its factorization.

100016641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100016641 is about 10000.8320153875. The cubic root of 100016641 is about 464.1846288265.

Adding to 100016641 its reverse (146610001), we get a palindrome (246626642).

The spelling of 100016641 in words is "one hundred million, sixteen thousand, six hundred forty-one".