105643117 has 16 divisors (see below), whose sum is σ = 117268992. Its totient is φ = 94659840.

The previous prime is 105643067. The next prime is 105643141. The reversal of 105643117 is 711346501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105643117 is a prime.

It is a super-2 number, since 2×105643117² = 22320936338951378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105643157) 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 15 ways as a sum of consecutive naturals, for example, 105463 + ... + 106459.

It is an arithmetic number, because the mean of its divisors is an integer number (7329312).

Almost surely, 2^105643117 is an apocalyptic number.

105643117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105643117 is a deficient number, since it is larger than the sum of its proper divisors (11625875).

105643117 is a wasteful number, since it uses less digits than its factorization.

105643117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105643117 is about 10278.2837575152. The cubic root of 105643117 is about 472.7306220928.

Adding to 105643117 its reverse (711346501), we get a palindrome (816989618).

The spelling of 105643117 in words is "one hundred five million, six hundred forty-three thousand, one hundred seventeen".