106658617 has 8 divisors (see below), whose sum is σ = 115032960. Its totient is φ = 98308560.

The previous prime is 106658593. The next prime is 106658623. The reversal of 106658617 is 716856601.

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 106658617 - 2¹¹ = 106656569 is a prime.

It is a super-3 number, since 3×106658617³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106658617.

It is not an unprimeable number, because it can be changed into a prime (106658687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3642 + ... + 15052.

It is an arithmetic number, because the mean of its divisors is an integer number (14379120).

Almost surely, 2^106658617 is an apocalyptic number.

It is an amenable number.

106658617 is a deficient number, since it is larger than the sum of its proper divisors (8374343).

106658617 is a wasteful number, since it uses less digits than its factorization.

106658617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 106658617 is about 10327.5658797221. The cubic root of 106658617 is about 474.2405103796.

The spelling of 106658617 in words is "one hundred six million, six hundred fifty-eight thousand, six hundred seventeen".