105017164 has 12 divisors (see below), whose sum is σ = 210034384. Its totient is φ = 45007344.

The previous prime is 105017153. The next prime is 105017179. The reversal of 105017164 is 461710501.

It is a happy number.

105017164 is an admirable number.

It is a super-2 number, since 2×105017164² = 22057209469205792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1875279 + ... + 1875334.

Almost surely, 2^105017164 is an apocalyptic number.

105017164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105017164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105017164 is a wasteful number, since it uses less digits than its factorization.

105017164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750624 (or 3750622 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105017164 is about 10247.7882491785. The cubic root of 105017164 is about 471.7951028214.

Adding to 105017164 its reverse (461710501), we get a palindrome (566727665).

The spelling of 105017164 in words is "one hundred five million, seventeen thousand, one hundred sixty-four".