264032106 has 32 divisors (see below), whose sum is σ = 571663680. Its totient is φ = 80815104.

The previous prime is 264032077. The next prime is 264032147. The reversal of 264032106 is 601230462.

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, 6285 + ... + 23823.

It is an arithmetic number, because the mean of its divisors is an integer number (17864490).

Almost surely, 2^264032106 is an apocalyptic number.

264032106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

264032106 is an abundant number, since it is smaller than the sum of its proper divisors (307631574).

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

264032106 is a wasteful number, since it uses less digits than its factorization.

264032106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17750.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 264032106 is about 16249.0647730877. The cubic root of 264032106 is about 641.5328702726.

Adding to 264032106 its reverse (601230462), we get a palindrome (865262568).

The spelling of 264032106 in words is "two hundred sixty-four million, thirty-two thousand, one hundred six".