204106624 has 64 divisors (see below), whose sum is σ = 435425760. Its totient is φ = 94961664.

The previous prime is 204106603. The next prime is 204106633. The reversal of 204106624 is 426601402.

204106624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 210589 + ... + 211555.

Almost surely, 2^204106624 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 204106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217712880).

204106624 is an abundant number, since it is smaller than the sum of its proper divisors (231319136).

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

204106624 is an equidigital number, since it uses as much as digits as its factorization.

204106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 204106624 is about 14286.5889560805. The cubic root of 204106624 is about 588.7790743587.

The spelling of 204106624 in words is "two hundred four million, one hundred six thousand, six hundred twenty-four".