105233137 has 2 divisors, whose sum is σ = 105233138. Its totient is φ = 105233136.

The previous prime is 105233087. The next prime is 105233159. The reversal of 105233137 is 731332501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53450721 + 51782416 = 7311^2 + 7196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105233137 is a prime.

It is a super-2 number, since 2×105233137² = 22148026245721538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105233197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52616568 + 52616569.

It is an arithmetic number, because the mean of its divisors is an integer number (52616569).

Almost surely, 2^105233137 is an apocalyptic number.

It is an amenable number.

105233137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105233137 is an equidigital number, since it uses as much as digits as its factorization.

105233137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 105233137 is about 10258.3203790874. The cubic root of 105233137 is about 472.1183046957.

Adding to 105233137 its reverse (731332501), we get a palindrome (836565638).

The spelling of 105233137 in words is "one hundred five million, two hundred thirty-three thousand, one hundred thirty-seven".