105432037 has 2 divisors, whose sum is σ = 105432038. Its totient is φ = 105432036.

The previous prime is 105432013. The next prime is 105432053. The reversal of 105432037 is 730234501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66569281 + 38862756 = 8159^2 + 6234^2 .

It is an emirp because it is prime and its reverse (730234501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105432037 is a prime.

It is a super-2 number, since 2×105432037² = 22231828851938738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105432077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52716018 + 52716019.

It is an arithmetic number, because the mean of its divisors is an integer number (52716019).

Almost surely, 2^105432037 is an apocalyptic number.

It is an amenable number.

105432037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105432037 is an equidigital number, since it uses as much as digits as its factorization.

105432037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 105432037 is about 10268.0103720244. The cubic root of 105432037 is about 472.4155660370.

Adding to 105432037 its reverse (730234501), we get a palindrome (835666538).

The spelling of 105432037 in words is "one hundred five million, four hundred thirty-two thousand, thirty-seven".