105045037 has 2 divisors, whose sum is σ = 105045038. Its totient is φ = 105045036.

The previous prime is 105045007. The next prime is 105045043. The reversal of 105045037 is 730540501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87497316 + 17547721 = 9354^2 + 4189^2 .

It is a cyclic number.

It is not a de Polignac number, because 105045037 - 2⁷ = 105044909 is a prime.

It is a super-2 number, since 2×105045037² = 22068919596662738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105045007) 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, 52522518 + 52522519.

It is an arithmetic number, because the mean of its divisors is an integer number (52522519).

Almost surely, 2^105045037 is an apocalyptic number.

It is an amenable number.

105045037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105045037 is an equidigital number, since it uses as much as digits as its factorization.

105045037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 105045037 is about 10249.1481109407. The cubic root of 105045037 is about 471.8368394326.

Adding to 105045037 its reverse (730540501), we get a palindrome (835585538).

The spelling of 105045037 in words is "one hundred five million, forty-five thousand, thirty-seven".