105552164 has 6 divisors (see below), whose sum is σ = 184716294. Its totient is φ = 52776080.

The previous prime is 105552151. The next prime is 105552169. The reversal of 105552164 is 461255501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99840064 + 5712100 = 9992^2 + 2390^2 .

It is a super-2 number, since 2×105552164² = 22282518650165792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105552169) by changing a digit.

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, 13194017 + ... + 13194024.

It is an arithmetic number, because the mean of its divisors is an integer number (30786049).

Almost surely, 2^105552164 is an apocalyptic number.

It is an amenable number.

105552164 is a deficient number, since it is larger than the sum of its proper divisors (79164130).

105552164 is a wasteful number, since it uses less digits than its factorization.

105552164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26388045 (or 26388043 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 105552164 is about 10273.8582820672. The cubic root of 105552164 is about 472.5949179897.

The spelling of 105552164 in words is "one hundred five million, five hundred fifty-two thousand, one hundred sixty-four".