105186164 has 6 divisors (see below), whose sum is σ = 184075794. Its totient is φ = 52593080.

The previous prime is 105186113. The next prime is 105186187. The reversal of 105186164 is 461681501.

It can be written as a sum of positive squares in only one way, i.e., 62283664 + 42902500 = 7892^2 + 6550^2 .

It is a super-2 number, since 2×105186164² = 22128258194069792, 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 105186164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13148267 + ... + 13148274.

It is an arithmetic number, because the mean of its divisors is an integer number (30679299).

Almost surely, 2^105186164 is an apocalyptic number.

It is an amenable number.

105186164 is a deficient number, since it is larger than the sum of its proper divisors (78889630).

105186164 is a wasteful number, since it uses less digits than its factorization.

105186164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26296545 (or 26296543 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 105186164 is about 10256.0306161790. The cubic root of 105186164 is about 472.0480476320.

The spelling of 105186164 in words is "one hundred five million, one hundred eighty-six thousand, one hundred sixty-four".