100523009 has 2 divisors, whose sum is σ = 100523010. Its totient is φ = 100523008.

The previous prime is 100522967. The next prime is 100523039. The reversal of 100523009 is 900325001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100300225 + 222784 = 10015^2 + 472^2 .

It is a cyclic number.

It is not a de Polignac number, because 100523009 - 2²⁰ = 99474433 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100523039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50261504 + 50261505.

It is an arithmetic number, because the mean of its divisors is an integer number (50261505).

Almost surely, 2^100523009 is an apocalyptic number.

It is an amenable number.

100523009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100523009 is an equidigital number, since it uses as much as digits as its factorization.

100523009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 100523009 is about 10026.1163468214. The cubic root of 100523009 is about 464.9666742988.

The spelling of 100523009 in words is "one hundred million, five hundred twenty-three thousand, nine".