214412100 has 72 divisors (see below), whose sum is σ = 708996288. Its totient is φ = 49008000.

The previous prime is 214412071. The next prime is 214412111. The reversal of 214412100 is 1214412.

214412100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214412100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48951 + ... + 53150.

Almost surely, 2^214412100 is an apocalyptic number.

214412100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214412100 is an abundant number, since it is smaller than the sum of its proper divisors (494584188).

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

214412100 is a wasteful number, since it uses less digits than its factorization.

214412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102125 (or 102118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214412100 is about 14642.8173518623. The cubic root of 214412100 is about 598.5261045740.

Adding to 214412100 its reverse (1214412), we get a palindrome (215626512).

The spelling of 214412100 in words is "two hundred fourteen million, four hundred twelve thousand, one hundred".