100372133 has 2 divisors, whose sum is σ = 100372134. Its totient is φ = 100372132.

The previous prime is 100372127. The next prime is 100372171. The reversal of 100372133 is 331273001.

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., 94031809 + 6340324 = 9697^2 + 2518^2 .

It is a cyclic number.

It is not a de Polignac number, because 100372133 - 2²⁰ = 99323557 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100372123) 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, 50186066 + 50186067.

It is an arithmetic number, because the mean of its divisors is an integer number (50186067).

Almost surely, 2^100372133 is an apocalyptic number.

It is an amenable number.

100372133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100372133 is an equidigital number, since it uses as much as digits as its factorization.

100372133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 100372133 is about 10018.5893717629. The cubic root of 100372133 is about 464.7339334255.

The spelling of 100372133 in words is "one hundred million, three hundred seventy-two thousand, one hundred thirty-three".