105017166 has 12 divisors (see below), whose sum is σ = 227537232. Its totient is φ = 35005716.

The previous prime is 105017153. The next prime is 105017179. The reversal of 105017166 is 661710501.

It is an interprime number because it is at equal distance from previous prime (105017153) and next prime (105017179).

It is a super-2 number, since 2×105017166² = 22057210309343112, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2917126 + ... + 2917161.

It is an arithmetic number, because the mean of its divisors is an integer number (18961436).

Almost surely, 2^105017166 is an apocalyptic number.

105017166 is an abundant number, since it is smaller than the sum of its proper divisors (122520066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105017166 is a wasteful number, since it uses less digits than its factorization.

105017166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834295 (or 5834292 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105017166 is about 10247.7883467605. The cubic root of 105017166 is about 471.7951058164.

Adding to 105017166 its reverse (661710501), we get a palindrome (766727667).

The spelling of 105017166 in words is "one hundred five million, seventeen thousand, one hundred sixty-six".