9905116 has 24 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 4546752.

The previous prime is 9905113. The next prime is 9905123. The reversal of 9905116 is 6115099.

It is a super-2 number, since 2×9905116² = 196222645946912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12030 + ... + 12826.

It is an arithmetic number, because the mean of its divisors is an integer number (782040).

Almost surely, 2^9905116 is an apocalyptic number.

It is an amenable number.

9905116 is a deficient number, since it is larger than the sum of its proper divisors (8863844).

9905116 is a wasteful number, since it uses less digits than its factorization.

9905116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 9905116 is about 3147.2394252742. The cubic root of 9905116 is about 214.7598978201.

The spelling of 9905116 in words is "nine million, nine hundred five thousand, one hundred sixteen".