105117917 has 2 divisors, whose sum is σ = 105117918. Its totient is φ = 105117916.

The previous prime is 105117913. The next prime is 105117967. The reversal of 105117917 is 719711501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104734756 + 383161 = 10234^2 + 619^2 .

It is a cyclic number.

It is not a de Polignac number, because 105117917 - 2² = 105117913 is a prime.

It is a super-2 number, since 2×105117917² = 22099552948837778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105117913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558958 + 52558959.

It is an arithmetic number, because the mean of its divisors is an integer number (52558959).

Almost surely, 2^105117917 is an apocalyptic number.

It is an amenable number.

105117917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117917 is an equidigital number, since it uses as much as digits as its factorization.

105117917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 32.

The square root of 105117917 is about 10252.7029119155. The cubic root of 105117917 is about 471.9459339704.

The spelling of 105117917 in words is "one hundred five million, one hundred seventeen thousand, nine hundred seventeen".