100112953 has 2 divisors, whose sum is σ = 100112954. Its totient is φ = 100112952.

The previous prime is 100112933. The next prime is 100112963. The reversal of 100112953 is 359211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76947984 + 23164969 = 8772^2 + 4813^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112953 - 2⁵ = 100112921 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112933) 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, 50056476 + 50056477.

It is an arithmetic number, because the mean of its divisors is an integer number (50056477).

Almost surely, 2^100112953 is an apocalyptic number.

It is an amenable number.

100112953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112953 is an equidigital number, since it uses as much as digits as its factorization.

100112953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 100112953 is about 10005.6460561025. The cubic root of 100112953 is about 464.3335780646. Note that the first 3 decimals are identical.

Adding to 100112953 its reverse (359211001), we get a palindrome (459323954).

The spelling of 100112953 in words is "one hundred million, one hundred twelve thousand, nine hundred fifty-three".