105575089 has 2 divisors, whose sum is σ = 105575090. Its totient is φ = 105575088.

The previous prime is 105575027. The next prime is 105575137. The reversal of 105575089 is 980575501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88830625 + 16744464 = 9425^2 + 4092^2 .

It is an emirp because it is prime and its reverse (980575501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105575089 - 2¹³ = 105566897 is a prime.

It is a super-2 number, since 2×105575089² = 22292198834715842, which contains 22 as substring.

It is equal to p_6063799 and since 105575089 and 6063799 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105570089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52787544 + 52787545.

It is an arithmetic number, because the mean of its divisors is an integer number (52787545).

Almost surely, 2^105575089 is an apocalyptic number.

It is an amenable number.

105575089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105575089 is an equidigital number, since it uses as much as digits as its factorization.

105575089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63000, while the sum is 40.

The square root of 105575089 is about 10274.9739172418. The cubic root of 105575089 is about 472.6291299970.

The spelling of 105575089 in words is "one hundred five million, five hundred seventy-five thousand, eighty-nine".