105130037 has 2 divisors, whose sum is σ = 105130038. Its totient is φ = 105130036.

The previous prime is 105130031. The next prime is 105130043. The reversal of 105130037 is 730031501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105130031) and next prime (105130043).

It can be written as a sum of positive squares in only one way, i.e., 58767556 + 46362481 = 7666^2 + 6809^2 .

It is an emirp because it is prime and its reverse (730031501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105130037 - 2¹⁶ = 105064501 is a prime.

It is a super-2 number, since 2×105130037² = 22104649359242738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105130031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52565018 + 52565019.

It is an arithmetic number, because the mean of its divisors is an integer number (52565019).

Almost surely, 2^105130037 is an apocalyptic number.

It is an amenable number.

105130037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105130037 is an equidigital number, since it uses as much as digits as its factorization.

105130037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 105130037 is about 10253.2939585286. The cubic root of 105130037 is about 471.9640715853.

Adding to 105130037 its reverse (730031501), we get a palindrome (835161538).

The spelling of 105130037 in words is "one hundred five million, one hundred thirty thousand, thirty-seven".