364181106 has 32 divisors (see below), whose sum is σ = 790026048. Its totient is φ = 111464960.

The previous prime is 364181063. The next prime is 364181107. The reversal of 364181106 is 601181463.

364181106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (364181107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39360 + ... + 47723.

It is an arithmetic number, because the mean of its divisors is an integer number (24688314).

Almost surely, 2^364181106 is an apocalyptic number.

364181106 is an abundant number, since it is smaller than the sum of its proper divisors (425844942).

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

364181106 is a wasteful number, since it uses less digits than its factorization.

364181106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87146.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 364181106 is about 19083.5297049576. The cubic root of 364181106 is about 714.1220946334.

The spelling of 364181106 in words is "three hundred sixty-four million, one hundred eighty-one thousand, one hundred six".