105057437 has 2 divisors, whose sum is σ = 105057438. Its totient is φ = 105057436.

The previous prime is 105057413. The next prime is 105057461. The reversal of 105057437 is 734750501.

It is a balanced prime because it is at equal distance from previous prime (105057413) and next prime (105057461).

It can be written as a sum of positive squares in only one way, i.e., 61246276 + 43811161 = 7826^2 + 6619^2 .

It is a cyclic number.

It is not a de Polignac number, because 105057437 - 2⁸ = 105057181 is a prime.

It is a super-2 number, since 2×105057437² = 22074130138017938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105057487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52528718 + 52528719.

It is an arithmetic number, because the mean of its divisors is an integer number (52528719).

Almost surely, 2^105057437 is an apocalyptic number.

It is an amenable number.

105057437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105057437 is an equidigital number, since it uses as much as digits as its factorization.

105057437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 105057437 is about 10249.7530214147. The cubic root of 105057437 is about 471.8554046334.

The spelling of 105057437 in words is "one hundred five million, fifty-seven thousand, four hundred thirty-seven".