10105037 has 2 divisors, whose sum is σ = 10105038. Its totient is φ = 10105036.

The previous prime is 10105019. The next prime is 10105057. The reversal of 10105037 is 73050101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8128201 + 1976836 = 2851^2 + 1406^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105037 - 2²² = 5910733 is a prime.

It is a super-2 number, since 2×10105037² = 204223545542738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052518 + 5052519.

It is an arithmetic number, because the mean of its divisors is an integer number (5052519).

Almost surely, 2^10105037 is an apocalyptic number.

It is an amenable number.

10105037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105037 is an equidigital number, since it uses as much as digits as its factorization.

10105037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 10105037 is about 3178.8420847850. The cubic root of 10105037 is about 216.1951611199.

Adding to 10105037 its reverse (73050101), we get a palindrome (83155138).

The spelling of 10105037 in words is "ten million, one hundred five thousand, thirty-seven".