106605 has 24 divisors (see below), whose sum is σ = 194688. Its totient is φ = 53856.

The previous prime is 106591. The next prime is 106619. The reversal of 106605 is 506601.

106605 is a `hidden beast` number, since 1 + 0 + 660 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106591) and next prime (106619).

It is not a de Polignac number, because 106605 - 2⁶ = 106541 is a prime.

It is a super-2 number, since 2×106605² = 22729252050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

2¹⁰⁶⁶⁰⁵ is an apocalyptic number.

106605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106605 is a deficient number, since it is larger than the sum of its proper divisors (88083).

106605 is a wasteful number, since it uses less digits than its factorization.

106605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106605 is about 326.5042113052. The cubic root of 106605 is about 47.4161030584.

The spelling of 106605 in words is "one hundred six thousand, six hundred five".