10120509 has 36 divisors (see below), whose sum is σ = 17366076. Its totient is φ = 5660928.

The previous prime is 10120493. The next prime is 10120519. The reversal of 10120509 is 90502101.

It can be written as a sum of positive squares in 2 ways, for example, as 3980025 + 6140484 = 1995^2 + 2478^2 .

It is not a de Polignac number, because 10120509 - 2⁴ = 10120493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120491 and 10120500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120519) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23157 + ... + 23589.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^10120509 is an apocalyptic number.

It is an amenable number.

10120509 is a deficient number, since it is larger than the sum of its proper divisors (7245567).

10120509 is a wasteful number, since it uses less digits than its factorization.

10120509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10120509 is about 3181.2747445010. The cubic root of 10120509 is about 216.3054449253.

The spelling of 10120509 in words is "ten million, one hundred twenty thousand, five hundred nine".