105057009 has 12 divisors (see below), whose sum is σ = 151851076. Its totient is φ = 69990912.

The previous prime is 105056999. The next prime is 105057019. The reversal of 105057009 is 900750501.

It is an interprime number because it is at equal distance from previous prime (105056999) and next prime (105057019).

It can be written as a sum of positive squares in 2 ways, for example, as 89870400 + 15186609 = 9480^2 + 3897^2 .

It is not a de Polignac number, because 105057009 - 2⁵ = 105056977 is a prime.

It is a super-2 number, since 2×105057009² = 22073950280052162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105057019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15009 + ... + 20865.

Almost surely, 2^105057009 is an apocalyptic number.

It is an amenable number.

105057009 is a deficient number, since it is larger than the sum of its proper divisors (46794067).

105057009 is a wasteful number, since it uses less digits than its factorization.

105057009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 105057009 is about 10249.7321428416. The cubic root of 105057009 is about 471.8547638589.

The spelling of 105057009 in words is "one hundred five million, fifty-seven thousand, nine".