10509116 has 12 divisors (see below), whose sum is σ = 18415488. Its totient is φ = 5247552.

The previous prime is 10509101. The next prime is 10509131. The reversal of 10509116 is 61190501.

It is an interprime number because it is at equal distance from previous prime (10509101) and next prime (10509131).

It is a super-2 number, since 2×10509116² = 220883038202912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10509091 and 10509100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3140 + ... + 5556.

It is an arithmetic number, because the mean of its divisors is an integer number (1534624).

Almost surely, 2^10509116 is an apocalyptic number.

It is an amenable number.

10509116 is a deficient number, since it is larger than the sum of its proper divisors (7906372).

10509116 is a wasteful number, since it uses less digits than its factorization.

10509116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 10509116 is about 3241.7766733691. The cubic root of 10509116 is about 219.0393096107.

Adding to 10509116 its reverse (61190501), we get a palindrome (71699617).

The spelling of 10509116 in words is "ten million, five hundred nine thousand, one hundred sixteen".