100253161 has 2 divisors, whose sum is σ = 100253162. Its totient is φ = 100253160.

The previous prime is 100253147. The next prime is 100253189. The reversal of 100253161 is 161352001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88003161 + 12250000 = 9381^2 + 3500^2 .

It is an emirp because it is prime and its reverse (161352001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100253161 - 2⁵ = 100253129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100253141) 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, 50126580 + 50126581.

It is an arithmetic number, because the mean of its divisors is an integer number (50126581).

Almost surely, 2^100253161 is an apocalyptic number.

It is an amenable number.

100253161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100253161 is an equidigital number, since it uses as much as digits as its factorization.

100253161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100253161 is about 10012.6500488133. The cubic root of 100253161 is about 464.5502430470.

The spelling of 100253161 in words is "one hundred million, two hundred fifty-three thousand, one hundred sixty-one".