100826009 has 2 divisors, whose sum is σ = 100826010. Its totient is φ = 100826008.

The previous prime is 100825987. The next prime is 100826017. The reversal of 100826009 is 900628001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100560784 + 265225 = 10028^2 + 515^2 .

It is a cyclic number.

It is not a de Polignac number, because 100826009 - 2¹² = 100821913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_5806151 and since 100826009 and 5806151 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (100826029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50413004 + 50413005.

It is an arithmetic number, because the mean of its divisors is an integer number (50413005).

Almost surely, 2^100826009 is an apocalyptic number.

It is an amenable number.

100826009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100826009 is an equidigital number, since it uses as much as digits as its factorization.

100826009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 100826009 is about 10041.2155140700. The cubic root of 100826009 is about 465.4333786777.

The spelling of 100826009 in words is "one hundred million, eight hundred twenty-six thousand, nine".