214100008 has 16 divisors (see below), whose sum is σ = 418891680. Its totient is φ = 102395568.

The previous prime is 214099979. The next prime is 214100009. The reversal of 214100008 is 800001412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214099964 and 214100000.

It is not an unprimeable number, because it can be changed into a prime (214100009) 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 3 ways as a sum of consecutive naturals, for example, 581610 + ... + 581977.

It is an arithmetic number, because the mean of its divisors is an integer number (26180730).

Almost surely, 2^214100008 is an apocalyptic number.

It is an amenable number.

214100008 is a deficient number, since it is larger than the sum of its proper divisors (204791672).

214100008 is a wasteful number, since it uses less digits than its factorization.

214100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163616 (or 1163612 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 214100008 is about 14632.1566421358. The cubic root of 214100008 is about 598.2355645134.

It can be divided in two parts, 21 and 4100008, that multiplied together give a palindrome (86100168).

The spelling of 214100008 in words is "two hundred fourteen million, one hundred thousand, eight".