214245100 has 36 divisors (see below), whose sum is σ = 467548200. Its totient is φ = 85212160.

The previous prime is 214245079. The next prime is 214245113. The reversal of 214245100 is 1542412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11916 + ... + 23884.

It is an arithmetic number, because the mean of its divisors is an integer number (12987450).

Almost surely, 2^214245100 is an apocalyptic number.

214245100 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 214245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233774100).

214245100 is an abundant number, since it is smaller than the sum of its proper divisors (253303100).

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

214245100 is a wasteful number, since it uses less digits than its factorization.

214245100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 214245100 is about 14637.1137865359. The cubic root of 214245100 is about 598.3706720818.

Adding to 214245100 its reverse (1542412), we get a palindrome (215787512).

The spelling of 214245100 in words is "two hundred fourteen million, two hundred forty-five thousand, one hundred".