10466112 has 84 divisors (see below), whose sum is σ = 29419296. Its totient is φ = 3283200.

The previous prime is 10466107. The next prime is 10466119. The reversal of 10466112 is 21166401.

10466112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69237 + ... + 69387.

Almost surely, 2^10466112 is an apocalyptic number.

10466112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14709648).

10466112 is an abundant number, since it is smaller than the sum of its proper divisors (18953184).

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

10466112 is a wasteful number, since it uses less digits than its factorization.

10466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10466112 is about 3235.1370913765. The cubic root of 10466112 is about 218.7401266836.

The spelling of 10466112 in words is "ten million, four hundred sixty-six thousand, one hundred twelve".