100312253 has 2 divisors, whose sum is σ = 100312254. Its totient is φ = 100312252.

The previous prime is 100312151. The next prime is 100312271. The reversal of 100312253 is 352213001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56580484 + 43731769 = 7522^2 + 6613^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312253 - 2⁸ = 100311997 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100312283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156126 + 50156127.

It is an arithmetic number, because the mean of its divisors is an integer number (50156127).

Almost surely, 2^100312253 is an apocalyptic number.

It is an amenable number.

100312253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312253 is an equidigital number, since it uses as much as digits as its factorization.

100312253 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 17.

The square root of 100312253 is about 10015.6004812492. The cubic root of 100312253 is about 464.6414980624.

Adding to 100312253 its reverse (352213001), we get a palindrome (452525254).

The spelling of 100312253 in words is "one hundred million, three hundred twelve thousand, two hundred fifty-three".