100133827 has 2 divisors, whose sum is σ = 100133828. Its totient is φ = 100133826.

The previous prime is 100133807. The next prime is 100133837. The reversal of 100133827 is 728331001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100133827 is a prime.

It is not a weakly prime, because it can be changed into another prime (100133807) 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, 50066913 + 50066914.

It is an arithmetic number, because the mean of its divisors is an integer number (50066914).

Almost surely, 2^100133827 is an apocalyptic number.

100133827 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133827 is an equidigital number, since it uses as much as digits as its factorization.

100133827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100133827 is about 10006.6891127885. The cubic root of 100133827 is about 464.3658477003.

Adding to 100133827 its reverse (728331001), we get a palindrome (828464828).

The spelling of 100133827 in words is "one hundred million, one hundred thirty-three thousand, eight hundred twenty-seven".