100627117 has 2 divisors, whose sum is σ = 100627118. Its totient is φ = 100627116.

The previous prime is 100627091. The next prime is 100627133. The reversal of 100627117 is 711726001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100280196 + 346921 = 10014^2 + 589^2 .

It is a cyclic number.

It is not a de Polignac number, because 100627117 - 2⁷ = 100626989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100627091 and 100627100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100627157) 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, 50313558 + 50313559.

It is an arithmetic number, because the mean of its divisors is an integer number (50313559).

Almost surely, 2^100627117 is an apocalyptic number.

It is an amenable number.

100627117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100627117 is an equidigital number, since it uses as much as digits as its factorization.

100627117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 100627117 is about 10031.3068440757. The cubic root of 100627117 is about 465.1271352373.

The spelling of 100627117 in words is "one hundred million, six hundred twenty-seven thousand, one hundred seventeen".