105124009 has 3 divisors (see below), whose sum is σ = 105134263. Its totient is φ = 105113756.

The previous prime is 105124003. The next prime is 105124037. The reversal of 105124009 is 900421501.

The square root of 105124009 is 10253.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 12425625 + 92698384 = 3525^2 + 9628^2 .

It is not a de Polignac number, because 105124009 - 2³ = 105124001 is a prime.

It is a super-2 number, since 2×105124009² = 22102114536464162, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105124001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5127 + ... + 15379.

Almost surely, 2^105124009 is an apocalyptic number.

105124009 is the 10253-rd square number.

105124009 is the 5127-th centered octagonal number.

It is an amenable number.

105124009 is a deficient number, since it is larger than the sum of its proper divisors (10254).

105124009 is an frugal number, since it uses more digits than its factorization.

105124009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The cubic root of 105124009 is about 471.9550508402.

The spelling of 105124009 in words is "one hundred five million, one hundred twenty-four thousand, nine".