214106112 has 204 divisors, whose sum is σ = 697297720. Its totient is φ = 64880640.

The previous prime is 214106111. The next prime is 214106147. The reversal of 214106112 is 211601412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

214106112 is digitally balanced in base 3, 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 (18).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (214106111) 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, 19464187 + ... + 19464197.

Almost surely, 2^214106112 is an apocalyptic number.

214106112 is a gapful number since it is divisible by the number (22) 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 214106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348648860).

214106112 is an abundant number, since it is smaller than the sum of its proper divisors (483191608).

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

214106112 is an frugal number, since it uses more digits than its factorization.

214106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 214106112 is about 14632.3652223419. The cubic root of 214106112 is about 598.2412496995.

Adding to 214106112 its reverse (211601412), we get a palindrome (425707524).

The spelling of 214106112 in words is "two hundred fourteen million, one hundred six thousand, one hundred twelve".