214097100 has 144 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 48625920.

The previous prime is 214097083. The next prime is 214097123. The reversal of 214097100 is 1790412.

214097100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564711 + ... + 565089.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^214097100 is an apocalyptic number.

214097100 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 214097100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

214097100 is an abundant number, since it is smaller than the sum of its proper divisors (498357300).

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

214097100 is a wasteful number, since it uses less digits than its factorization.

214097100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 214097100 is about 14632.0572716211. The cubic root of 214097100 is about 598.2328560020.

The spelling of 214097100 in words is "two hundred fourteen million, ninety-seven thousand, one hundred".