106614 has 12 divisors (see below), whose sum is σ = 231036. Its totient is φ = 35532.

The previous prime is 106591. The next prime is 106619. The reversal of 106614 is 416601.

106614 is a `hidden beast` number, since 1 + 0 + 661 + 4 = 666.

It is a super-2 number, since 2×106614² = 22733089992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5923 = 106614 / (1 + 0 + 6 + 6 + 1 + 4).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106614.

It is not an unprimeable number, because it can be changed into a prime (106619) by changing a digit.

106614 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2944 + ... + 2979.

It is an arithmetic number, because the mean of its divisors is an integer number (19253).

2¹⁰⁶⁶¹⁴ is an apocalyptic number.

106614 is an abundant number, since it is smaller than the sum of its proper divisors (124422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106614 is a wasteful number, since it uses less digits than its factorization.

106614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106614 is about 326.5179933786. The cubic root of 106614 is about 47.4174373701.

The spelling of 106614 in words is "one hundred six thousand, six hundred fourteen".