9905112 has 64 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2829600.

The previous prime is 9905087. The next prime is 9905113. The reversal of 9905112 is 2115099.

It is a happy number.

9905112 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9905112² = 196222487465088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

9905112 is strictly pandigital in base 8.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764 + ... + 4787.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^9905112 is an apocalyptic number.

It is an amenable number.

9905112 is an abundant number, since it is smaller than the sum of its proper divisors (21544488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9905112 is a wasteful number, since it uses less digits than its factorization.

9905112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 9905112 is about 3147.2387897965. The cubic root of 9905112 is about 214.7598689111.

The spelling of 9905112 in words is "nine million, nine hundred five thousand, one hundred twelve".