105001037 has 2 divisors, whose sum is σ = 105001038. Its totient is φ = 105001036.

The previous prime is 105001031. The next prime is 105001051. The reversal of 105001037 is 730100501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92813956 + 12187081 = 9634^2 + 3491^2 .

It is a cyclic number.

It is not a de Polignac number, because 105001037 - 2⁸ = 105000781 is a prime.

It is a super-2 number, since 2×105001037² = 22050435542150738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105001031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500518 + 52500519.

It is an arithmetic number, because the mean of its divisors is an integer number (52500519).

Almost surely, 2^105001037 is an apocalyptic number.

It is an amenable number.

105001037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001037 is an equidigital number, since it uses as much as digits as its factorization.

105001037 is an evil number, because the sum of its binary digits is even.

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

The square root of 105001037 is about 10247.0013662534. The cubic root of 105001037 is about 471.7709511214.

Adding to 105001037 its reverse (730100501), we get a palindrome (835101538).

The spelling of 105001037 in words is "one hundred five million, one thousand, thirty-seven".