105011509 has 2 divisors, whose sum is σ = 105011510. Its totient is φ = 105011508.

The previous prime is 105011507. The next prime is 105011527. The reversal of 105011509 is 905110501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79032100 + 25979409 = 8890^2 + 5097^2 .

It is a cyclic number.

It is not a de Polignac number, because 105011509 - 2¹ = 105011507 is a prime.

It is a super-2 number, since 2×105011509² = 22054834044914162, which contains 22 as substring.

Together with 105011507, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105011509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105011507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505754 + 52505755.

It is an arithmetic number, because the mean of its divisors is an integer number (52505755).

Almost surely, 2^105011509 is an apocalyptic number.

It is an amenable number.

105011509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011509 is an equidigital number, since it uses as much as digits as its factorization.

105011509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 22.

The square root of 105011509 is about 10247.5123322687. The cubic root of 105011509 is about 471.7866342083.

The spelling of 105011509 in words is "one hundred five million, eleven thousand, five hundred nine".