105330089 has 2 divisors, whose sum is σ = 105330090. Its totient is φ = 105330088.

The previous prime is 105330077. The next prime is 105330119. The reversal of 105330089 is 980033501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71690089 + 33640000 = 8467^2 + 5800^2 .

It is a cyclic number.

It is not a de Polignac number, because 105330089 - 2¹⁶ = 105264553 is a prime.

It is a super-2 number, since 2×105330089² = 22188855297495842, which contains 22 as substring.

It is equal to p_6050567 and since 105330089 and 6050567 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 (105330289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52665044 + 52665045.

It is an arithmetic number, because the mean of its divisors is an integer number (52665045).

Almost surely, 2^105330089 is an apocalyptic number.

It is an amenable number.

105330089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105330089 is an equidigital number, since it uses as much as digits as its factorization.

105330089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 105330089 is about 10263.0448211045. The cubic root of 105330089 is about 472.2632487867.

The spelling of 105330089 in words is "one hundred five million, three hundred thirty thousand, eighty-nine".