214032100 has 72 divisors (see below), whose sum is σ = 476407008. Its totient is φ = 83443200.

The previous prime is 214032097. The next prime is 214032101. The reversal of 214032100 is 1230412.

It is not an unprimeable number, because it can be changed into a prime (214032101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887980 + ... + 888220.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764).

Almost surely, 2^214032100 is an apocalyptic number.

214032100 is a gapful number since it is divisible by the number (20) 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 214032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238203504).

214032100 is an abundant number, since it is smaller than the sum of its proper divisors (262374908).

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

214032100 is a wasteful number, since it uses less digits than its factorization.

214032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 214032100 is about 14629.8359526004. The cubic root of 214032100 is about 598.1723085970.

Adding to 214032100 its reverse (1230412), we get a palindrome (215262512).

The spelling of 214032100 in words is "two hundred fourteen million, thirty-two thousand, one hundred".