100605 has 16 divisors (see below), whose sum is σ = 169920. Its totient is φ = 50688.

The previous prime is 100591. The next prime is 100609. The reversal of 100605 is 506001.

100605 = T₁₄₅ + T₁₄₆ + ... + T₁₅₃.

It is not a de Polignac number, because 100605 - 2¹⁰ = 99581 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (10620).

2¹⁰⁰⁶⁰⁵ is an apocalyptic number.

100605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100605 is a deficient number, since it is larger than the sum of its proper divisors (69315).

100605 is a wasteful number, since it uses less digits than its factorization.

100605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100605 is about 317.1829125284. The cubic root of 100605 is about 46.5093055720.

Adding to 100605 its reverse (506001), we get a palindrome (606606).

The spelling of 100605 in words is "one hundred thousand, six hundred five".