32105114041 has 81 divisors (see below), whose sum is σ = 44700934383. Its totient is φ = 22963580640.

The previous prime is 32105114039. The next prime is 32105114077. The reversal of 32105114041 is 14041150123.

32105114041 = T₁₃₁₁₈ + T₁₃₁₁₉ + ... + T₁₃₄₈₀.

The square root of 32105114041 is 179179.

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

It can be written as a sum of positive squares in only one way, i.e., 4749277225 + 27355836816 = 68915^2 + 165396^2 .

It is not a de Polignac number, because 32105114041 - 2¹ = 32105114039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32105114021) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 179358090 + ... + 179358268.

Almost surely, 2^32105114041 is an apocalyptic number.

32105114041 is the 179179-th square number.

32105114041 is the 89590-th centered octagonal number.

It is an amenable number.

32105114041 is a deficient number, since it is larger than the sum of its proper divisors (12595820342).

32105114041 is a wasteful number, since it uses less digits than its factorization.

32105114041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 32105114041 its reverse (14041150123), we get a palindrome (46146264164).

The spelling of 32105114041 in words is "thirty-two billion, one hundred five million, one hundred fourteen thousand, forty-one".