100627133 has 2 divisors, whose sum is σ = 100627134. Its totient is φ = 100627132.

The previous prime is 100627117. The next prime is 100627151. The reversal of 100627133 is 331726001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59320804 + 41306329 = 7702^2 + 6427^2 .

It is a cyclic number.

It is not a de Polignac number, because 100627133 - 2⁴ = 100627117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100627099 and 100627108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100627183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50313566 + 50313567.

It is an arithmetic number, because the mean of its divisors is an integer number (50313567).

Almost surely, 2^100627133 is an apocalyptic number.

It is an amenable number.

100627133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100627133 is an equidigital number, since it uses as much as digits as its factorization.

100627133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 100627133 is about 10031.3076415789. The cubic root of 100627133 is about 465.1271598895.

The spelling of 100627133 in words is "one hundred million, six hundred twenty-seven thousand, one hundred thirty-three".