105234137 has 2 divisors, whose sum is σ = 105234138. Its totient is φ = 105234136.

The previous prime is 105234109. The next prime is 105234149. The reversal of 105234137 is 731432501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103449241 + 1784896 = 10171^2 + 1336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105234137 is a prime.

It is a super-2 number, since 2×105234137² = 22148447180269538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105234197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52617068 + 52617069.

It is an arithmetic number, because the mean of its divisors is an integer number (52617069).

Almost surely, 2^105234137 is an apocalyptic number.

It is an amenable number.

105234137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105234137 is an equidigital number, since it uses as much as digits as its factorization.

105234137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 105234137 is about 10258.3691198943. The cubic root of 105234137 is about 472.1198001588.

Adding to 105234137 its reverse (731432501), we get a palindrome (836666638).

The spelling of 105234137 in words is "one hundred five million, two hundred thirty-four thousand, one hundred thirty-seven".