108233290811529 has 45 divisors (see below), whose sum is σ = 175077559461783. Its totient is φ = 66604352984208.

The previous prime is 108233290811453. The next prime is 108233290811551. The reversal of 108233290811529 is 925118092332801.

The square root of 108233290811529 is 10403523.

It is a perfect power (a square), and thus also a powerful number.

108233290811529 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 3 + 32 + 9 + 0 + 81 + 1 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16010841836025 + 92222448975504 = 4001355^2 + 9603252^2 .

It is not a de Polignac number, because 108233290811529 - 2²⁹ = 108232753940617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108233290811329) 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 44 ways as a sum of consecutive naturals, for example, 1217167732 + ... + 1217256650.

Almost surely, 2^{108233290811529} is an apocalyptic number.

108233290811529 is the 10403523-rd square number.

108233290811529 is the 5201762-nd centered octagonal number.

It is an amenable number.

108233290811529 is a deficient number, since it is larger than the sum of its proper divisors (66844268650254).

108233290811529 is an frugal number, since it uses more digits than its factorization.

108233290811529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177876 (or 88935 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 108233290811529 in words is "one hundred eight trillion, two hundred thirty-three billion, two hundred ninety million, eight hundred eleven thousand, five hundred twenty-nine".