214116100 has 72 divisors (see below), whose sum is σ = 515342016. Its totient is φ = 76560000.

The previous prime is 214116083. The next prime is 214116107. The reversal of 214116100 is 1611412.

It is not an unprimeable number, because it can be changed into a prime (214116107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65505 + ... + 68695.

It is an arithmetic number, because the mean of its divisors is an integer number (7157528).

Almost surely, 2^214116100 is an apocalyptic number.

214116100 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 214116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257671008).

214116100 is an abundant number, since it is smaller than the sum of its proper divisors (301225916).

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

214116100 is a wasteful number, since it uses less digits than its factorization.

214116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 214116100 is about 14632.7065165676. The cubic root of 214116100 is about 598.2505521596.

Adding to 214116100 its reverse (1611412), we get a palindrome (215727512).

The spelling of 214116100 in words is "two hundred fourteen million, one hundred sixteen thousand, one hundred".