10086112 has 48 divisors (see below), whose sum is σ = 21364560. Its totient is φ = 4672512.

The previous prime is 10086107. The next prime is 10086143. The reversal of 10086112 is 21168001.

10086112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 10086112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32068 + ... + 32380.

It is an arithmetic number, because the mean of its divisors is an integer number (445095).

Almost surely, 2^10086112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10682280).

10086112 is an abundant number, since it is smaller than the sum of its proper divisors (11278448).

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

10086112 is a wasteful number, since it uses less digits than its factorization.

10086112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 10086112 is about 3175.8639769360. The cubic root of 10086112 is about 216.0601112992.

The spelling of 10086112 in words is "ten million, eighty-six thousand, one hundred twelve".