105111117 has 24 divisors (see below), whose sum is σ = 157850784. Its totient is φ = 67341024.

The previous prime is 105111103. The next prime is 105111121. The reversal of 105111117 is 711111501.

It is not a de Polignac number, because 105111117 - 2⁴ = 105111101 is a prime.

It is a super-2 number, since 2×105111117² = 22096693833975378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105111117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25738 + ... + 29540.

It is an arithmetic number, because the mean of its divisors is an integer number (6577116).

Almost surely, 2^105111117 is an apocalyptic number.

It is an amenable number.

105111117 is a deficient number, since it is larger than the sum of its proper divisors (52739667).

105111117 is a wasteful number, since it uses less digits than its factorization.

105111117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 18.

The square root of 105111117 is about 10252.3712866829. The cubic root of 105111117 is about 471.9357571403.

Adding to 105111117 its reverse (711111501), we get a palindrome (816222618).

It can be divided in two parts, 10511 and 1117, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 105111117 in words is "one hundred five million, one hundred eleven thousand, one hundred seventeen".