105124037 has 2 divisors, whose sum is σ = 105124038. Its totient is φ = 105124036.

The previous prime is 105124003. The next prime is 105124057. The reversal of 105124037 is 730421501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60621796 + 44502241 = 7786^2 + 6671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105124037 is a prime.

It is a super-2 number, since 2×105124037² = 22102126310354738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105124057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52562018 + 52562019.

It is an arithmetic number, because the mean of its divisors is an integer number (52562019).

Almost surely, 2^105124037 is an apocalyptic number.

It is an amenable number.

105124037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105124037 is an equidigital number, since it uses as much as digits as its factorization.

105124037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105124037 is about 10253.0013654539. The cubic root of 105124037 is about 471.9550927423.

Adding to 105124037 its reverse (730421501), we get a palindrome (835545538).

The spelling of 105124037 in words is "one hundred five million, one hundred twenty-four thousand, thirty-seven".