100475827 has 2 divisors, whose sum is σ = 100475828. Its totient is φ = 100475826.

The previous prime is 100475783. The next prime is 100475833. The reversal of 100475827 is 728574001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (728574001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100475827 - 2⁷ = 100475699 is a prime.

It is a super-2 number, since 2×100475827² = 20190783622667858, which contains 22 as substring.

It is equal to p_5787232 and since 100475827 and 5787232 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 100475792 and 100475801.

It is not a weakly prime, because it can be changed into another prime (100475887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50237913 + 50237914.

It is an arithmetic number, because the mean of its divisors is an integer number (50237914).

Almost surely, 2^100475827 is an apocalyptic number.

100475827 is a deficient number, since it is larger than the sum of its proper divisors (1).

100475827 is an equidigital number, since it uses as much as digits as its factorization.

100475827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 100475827 is about 10023.7631157166. The cubic root of 100475827 is about 464.8939165257.

The spelling of 100475827 in words is "one hundred million, four hundred seventy-five thousand, eight hundred twenty-seven".