105406957 has 2 divisors, whose sum is σ = 105406958. Its totient is φ = 105406956.

The previous prime is 105406901. The next prime is 105406993. The reversal of 105406957 is 759604501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91126116 + 14280841 = 9546^2 + 3779^2 .

It is a cyclic number.

It is not a de Polignac number, because 105406957 - 2¹⁵ = 105374189 is a prime.

It is a super-2 number, since 2×105406957² = 22221253167999698, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105406057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52703478 + 52703479.

It is an arithmetic number, because the mean of its divisors is an integer number (52703479).

Almost surely, 2^105406957 is an apocalyptic number.

It is an amenable number.

105406957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105406957 is an equidigital number, since it uses as much as digits as its factorization.

105406957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 105406957 is about 10266.7890306561. The cubic root of 105406957 is about 472.3781039197.

The spelling of 105406957 in words is "one hundred five million, four hundred six thousand, nine hundred fifty-seven".