105072089 has 2 divisors, whose sum is σ = 105072090. Its totient is φ = 105072088.

The previous prime is 105072083. The next prime is 105072101. The reversal of 105072089 is 980270501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97673689 + 7398400 = 9883^2 + 2720^2 .

It is a cyclic number.

It is not a de Polignac number, because 105072089 - 2¹⁶ = 105006553 is a prime.

It is a super-2 number, since 2×105072089² = 22080287773647842, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105072083) 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, 52536044 + 52536045.

It is an arithmetic number, because the mean of its divisors is an integer number (52536045).

Almost surely, 2^105072089 is an apocalyptic number.

It is an amenable number.

105072089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105072089 is an equidigital number, since it uses as much as digits as its factorization.

105072089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 105072089 is about 10250.4677454251. The cubic root of 105072089 is about 471.8773396314.

The spelling of 105072089 in words is "one hundred five million, seventy-two thousand, eighty-nine".