105437 has 2 divisors, whose sum is σ = 105438. Its totient is φ = 105436.

The previous prime is 105407. The next prime is 105449. The reversal of 105437 is 734501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 42436 = 251^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 105437 - 2⁶ = 105373 is a prime.

It is a super-2 number, since 2×105437² = 22233921938, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52718 + 52719.

It is an arithmetic number, because the mean of its divisors is an integer number (52719).

2¹⁰⁵⁴³⁷ is an apocalyptic number.

It is an amenable number.

105437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105437 is an equidigital number, since it uses as much as digits as its factorization.

105437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 105437 is about 324.7106404170. The cubic root of 105437 is about 47.2422978590.

Adding to 105437 its reverse (734501), we get a palindrome (839938).

The spelling of 105437 in words is "one hundred five thousand, four hundred thirty-seven".