105106037 has 2 divisors, whose sum is σ = 105106038. Its totient is φ = 105106036.

The previous prime is 105106033. The next prime is 105106069. The reversal of 105106037 is 730601501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99181681 + 5924356 = 9959^2 + 2434^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106037 - 2² = 105106033 is a prime.

It is a super-2 number, since 2×105106037² = 22094558027690738, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105106033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553018 + 52553019.

It is an arithmetic number, because the mean of its divisors is an integer number (52553019).

Almost surely, 2^105106037 is an apocalyptic number.

It is an amenable number.

105106037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106037 is an equidigital number, since it uses as much as digits as its factorization.

105106037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 105106037 is about 10252.1235361266. The cubic root of 105106037 is about 471.9281541631.

Adding to 105106037 its reverse (730601501), we get a palindrome (835707538).

The spelling of 105106037 in words is "one hundred five million, one hundred six thousand, thirty-seven".