100610009 has 2 divisors, whose sum is σ = 100610010. Its totient is φ = 100610008.

The previous prime is 100609991. The next prime is 100610017. The reversal of 100610009 is 900016001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99102025 + 1507984 = 9955^2 + 1228^2 .

It is an emirp because it is prime and its reverse (900016001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100610009 - 2⁸ = 100609753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100610089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50305004 + 50305005.

It is an arithmetic number, because the mean of its divisors is an integer number (50305005).

Almost surely, 2^100610009 is an apocalyptic number.

It is an amenable number.

100610009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100610009 is an equidigital number, since it uses as much as digits as its factorization.

100610009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 100610009 is about 10030.4540774583. The cubic root of 100610009 is about 465.1007743972.

The spelling of 100610009 in words is "one hundred million, six hundred ten thousand, nine".