105435457 has 2 divisors, whose sum is σ = 105435458. Its totient is φ = 105435456.

The previous prime is 105435443. The next prime is 105435469. The reversal of 105435457 is 754534501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 5755201 = 9984^2 + 2399^2 .

It is a cyclic number.

It is not a de Polignac number, because 105435457 - 2¹¹ = 105433409 is a prime.

It is a super-2 number, since 2×105435457² = 22233271185597698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105435157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717728 + 52717729.

It is an arithmetic number, because the mean of its divisors is an integer number (52717729).

Almost surely, 2^105435457 is an apocalyptic number.

It is an amenable number.

105435457 is a deficient number, since it is larger than the sum of its proper divisors (1).

105435457 is an equidigital number, since it uses as much as digits as its factorization.

105435457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 105435457 is about 10268.1769073190. The cubic root of 105435457 is about 472.4206740472.

Adding to 105435457 its reverse (754534501), we get a palindrome (859969958).

The spelling of 105435457 in words is "one hundred five million, four hundred thirty-five thousand, four hundred fifty-seven".