105617311 has 8 divisors (see below), whose sum is σ = 116692704. Its totient is φ = 95082240.

The previous prime is 105617261. The next prime is 105617321. The reversal of 105617311 is 113716501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105617311 is a prime.

It is a super-2 number, since 2×105617311² = 22310032765741442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105617321) 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, 134670 + ... + 135451.

It is an arithmetic number, because the mean of its divisors is an integer number (14586588).

Almost surely, 2^105617311 is an apocalyptic number.

105617311 is a deficient number, since it is larger than the sum of its proper divisors (11075393).

105617311 is a wasteful number, since it uses less digits than its factorization.

105617311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270161.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105617311 is about 10277.0283156173. The cubic root of 105617311 is about 472.6921268261.

The spelling of 105617311 in words is "one hundred five million, six hundred seventeen thousand, three hundred eleven".