105807089 has 2 divisors, whose sum is σ = 105807090. Its totient is φ = 105807088.

The previous prime is 105807077. The next prime is 105807103. The reversal of 105807089 is 980708501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69022864 + 36784225 = 8308^2 + 6065^2 .

It is an emirp because it is prime and its reverse (980708501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105807089 - 2²⁴ = 89029873 is a prime.

It is a super-2 number, since 2×105807089² = 22390280165307842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105807589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52903544 + 52903545.

It is an arithmetic number, because the mean of its divisors is an integer number (52903545).

Almost surely, 2^105807089 is an apocalyptic number.

It is an amenable number.

105807089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105807089 is an equidigital number, since it uses as much as digits as its factorization.

105807089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 105807089 is about 10286.2572882463. The cubic root of 105807089 is about 472.9750756771.

The spelling of 105807089 in words is "one hundred five million, eight hundred seven thousand, eighty-nine".