214108100 has 36 divisors (see below), whose sum is σ = 469425684. Its totient is φ = 84756480.

The previous prime is 214108099. The next prime is 214108117. The reversal of 214108100 is 1801412.

It can be written as a sum of positive squares in 6 ways, for example, as 4032064 + 210076036 = 2008^2 + 14494^2 .

It is a super-2 number, since 2×214108100² = 91684556971220000, which contains 22 as substring.

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, 1337 + ... + 20736.

Almost surely, 2^214108100 is an apocalyptic number.

214108100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214108100 is an abundant number, since it is smaller than the sum of its proper divisors (255317584).

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

214108100 is a wasteful number, since it uses less digits than its factorization.

214108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22184 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 214108100 is about 14632.4331537855. The cubic root of 214108100 is about 598.2431012735.

Adding to 214108100 its reverse (1801412), we get a palindrome (215909512).

The spelling of 214108100 in words is "two hundred fourteen million, one hundred eight thousand, one hundred".