101605 has 8 divisors (see below), whose sum is σ = 139392. Its totient is φ = 69648.

The previous prime is 101603. The next prime is 101611. The reversal of 101605 is 506101.

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 101605 - 2¹ = 101603 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101603) 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, 1417 + ... + 1486.

It is an arithmetic number, because the mean of its divisors is an integer number (17424).

2¹⁰¹⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

101605 is a deficient number, since it is larger than the sum of its proper divisors (37787).

101605 is an equidigital number, since it uses as much as digits as its factorization.

101605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 101605 is about 318.7553921113. The cubic root of 101605 is about 46.6628965208.

Adding to 101605 its reverse (506101), we get a palindrome (607706).

Subtracting 101605 from its reverse (506101), we obtain a square (404496 = 636²).

The spelling of 101605 in words is "one hundred one thousand, six hundred five".