100605609 has 24 divisors (see below), whose sum is σ = 165706632. Its totient is φ = 58268160.

The previous prime is 100605601. The next prime is 100605613. The reversal of 100605609 is 906506001.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 82355625 = 4272^2 + 9075^2 .

It is not a de Polignac number, because 100605609 - 2³ = 100605601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100605601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23302 + ... + 27279.

It is an arithmetic number, because the mean of its divisors is an integer number (6904443).

Almost surely, 2^100605609 is an apocalyptic number.

It is an amenable number.

100605609 is a deficient number, since it is larger than the sum of its proper divisors (65101023).

100605609 is a wasteful number, since it uses less digits than its factorization.

100605609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50617 (or 50614 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100605609 is about 10030.2347430157. The cubic root of 100605609 is about 465.0939941796.

The spelling of 100605609 in words is "one hundred million, six hundred five thousand, six hundred nine".