106613 has 8 divisors (see below), whose sum is σ = 117600. Its totient is φ = 96048.

The previous prime is 106591. The next prime is 106619. The reversal of 106613 is 316601.

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 106613 - 2⁸ = 106357 is a prime.

It is a super-2 number, since 2×106613² = 22732663538, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 106591 and 106600.

It is a congruent number.

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, 698 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2¹⁰⁶⁶¹³ is an apocalyptic number.

106613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106613 is a deficient number, since it is larger than the sum of its proper divisors (10987).

106613 is a wasteful number, since it uses less digits than its factorization.

106613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 106613 is about 326.5164620659. The cubic root of 106613 is about 47.4172891170.

The spelling of 106613 in words is "one hundred six thousand, six hundred thirteen".