106617 has 8 divisors (see below), whose sum is σ = 162496. Its totient is φ = 60912.

The previous prime is 106591. The next prime is 106619. The reversal of 106617 is 716601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106617 - 2¹⁵ = 73849 is a prime.

It is a super-2 number, since 2×106617² = 22734369378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 5077 = 106617 / (1 + 0 + 6 + 6 + 1 + 7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106593 and 106602.

It is not an unprimeable number, because it can be changed into a prime (106619) 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, 2518 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (20312).

2¹⁰⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

106617 is a deficient number, since it is larger than the sum of its proper divisors (55879).

106617 is an equidigital number, since it uses as much as digits as its factorization.

106617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106617 is about 326.5225872738. The cubic root of 106617 is about 47.4178821240.

The spelling of 106617 in words is "one hundred six thousand, six hundred seventeen".