105478657 has 2 divisors, whose sum is σ = 105478658. Its totient is φ = 105478656.

The previous prime is 105478651. The next prime is 105478661. The reversal of 105478657 is 756874501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80568576 + 24910081 = 8976^2 + 4991^2 .

It is a cyclic number.

It is not a de Polignac number, because 105478657 - 2¹⁵ = 105445889 is a prime.

It is a super-2 number, since 2×105478657² = 22251494165047298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105478651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52739328 + 52739329.

It is an arithmetic number, because the mean of its divisors is an integer number (52739329).

Almost surely, 2^105478657 is an apocalyptic number.

It is an amenable number.

105478657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105478657 is an equidigital number, since it uses as much as digits as its factorization.

105478657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 105478657 is about 10270.2802785513. The cubic root of 105478657 is about 472.4851867737.

The spelling of 105478657 in words is "one hundred five million, four hundred seventy-eight thousand, six hundred fifty-seven".