105427664 has 10 divisors (see below), whose sum is σ = 204266130. Its totient is φ = 52713824.

The previous prime is 105427657. The next prime is 105427669. The reversal of 105427664 is 466724501.

It can be written as a sum of positive squares in only one way, i.e., 89491600 + 15936064 = 9460^2 + 3992^2 .

It is a super-2 number, since 2×105427664² = 22229984672993792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105427669) 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, 3294599 + ... + 3294630.

It is an arithmetic number, because the mean of its divisors is an integer number (20426613).

Almost surely, 2^105427664 is an apocalyptic number.

It is an amenable number.

105427664 is a deficient number, since it is larger than the sum of its proper divisors (98838466).

105427664 is an equidigital number, since it uses as much as digits as its factorization.

105427664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589237 (or 6589231 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 105427664 is about 10267.7974269071. The cubic root of 105427664 is about 472.4090344934.

The spelling of 105427664 in words is "one hundred five million, four hundred twenty-seven thousand, six hundred sixty-four".