364768105 has 16 divisors (see below), whose sum is σ = 479125584. Its totient is φ = 264948480.

The previous prime is 364768093. The next prime is 364768121. The reversal of 364768105 is 501867463.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 88510464 + 276257641 = 9408^2 + 16621^2 .

It is not a de Polignac number, because 364768105 - 2⁹ = 364767593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42034 + ... + 49963.

It is an arithmetic number, because the mean of its divisors is an integer number (29945349).

Almost surely, 2^364768105 is an apocalyptic number.

It is an amenable number.

364768105 is a deficient number, since it is larger than the sum of its proper divisors (114357479).

364768105 is a wasteful number, since it uses less digits than its factorization.

364768105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92076.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 364768105 is about 19098.9032407623. The cubic root of 364768105 is about 714.5055704454.

The spelling of 364768105 in words is "three hundred sixty-four million, seven hundred sixty-eight thousand, one hundred five".