214106004 has 120 divisors (see below), whose sum is σ = 649682880. Its totient is φ = 60217344.

The previous prime is 214105981. The next prime is 214106021. The reversal of 214106004 is 400601412.

214106004 is a `hidden beast` number, since 21 + 41 + 0 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151252 + ... + 152660.

It is an arithmetic number, because the mean of its divisors is an integer number (5414024).

Almost surely, 2^214106004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214106004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324841440).

214106004 is an abundant number, since it is smaller than the sum of its proper divisors (435576876).

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

214106004 is a wasteful number, since it uses less digits than its factorization.

214106004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214106004 is about 14632.3615318922. The cubic root of 214106004 is about 598.2411491106.

Adding to 214106004 its reverse (400601412), we get a palindrome (614707416).

The spelling of 214106004 in words is "two hundred fourteen million, one hundred six thousand, four".