105417117 has 24 divisors (see below), whose sum is σ = 169642200. Its totient is φ = 62633088.

The previous prime is 105417113. The next prime is 105417139. The reversal of 105417117 is 711714501.

105417117 is a `hidden beast` number, since 1 + 0 + 541 + 7 + 117 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6095961 + 99321156 = 2469^2 + 9966^2 .

It is not a de Polignac number, because 105417117 - 2² = 105417113 is a prime.

It is a super-2 number, since 2×105417117² = 22225537113183378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105417113) 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, 12142 + ... + 18927.

It is an arithmetic number, because the mean of its divisors is an integer number (7068425).

Almost surely, 2^105417117 is an apocalyptic number.

It is an amenable number.

105417117 is a deficient number, since it is larger than the sum of its proper divisors (64225083).

105417117 is a wasteful number, since it uses less digits than its factorization.

105417117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31117 (or 31114 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 105417117 is about 10267.2838180309. The cubic root of 105417117 is about 472.3932806768.

The spelling of 105417117 in words is "one hundred five million, four hundred seventeen thousand, one hundred seventeen".