100100009 has 8 divisors (see below), whose sum is σ = 102222120. Its totient is φ = 97998336.

The previous prime is 100099981. The next prime is 100100051. The reversal of 100100009 is 900001001.

It can be written as a sum of positive squares in 4 ways, for example, as 54834025 + 45265984 = 7405^2 + 6728^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100009 - 2¹² = 100095913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4997 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (12777765).

Almost surely, 2^100100009 is an apocalyptic number.

It is an amenable number.

100100009 is a deficient number, since it is larger than the sum of its proper divisors (2122111).

100100009 is a wasteful number, since it uses less digits than its factorization.

100100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10219.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 100100009 is about 10004.9992003998. Note that the first 3 decimals coincide. The cubic root of 100100009 is about 464.3135653600.

The spelling of 100100009 in words is "one hundred million, one hundred thousand, nine".