206416104 has 64 divisors (see below), whose sum is σ = 544112640. Its totient is φ = 65158080.

The previous prime is 206416087. The next prime is 206416117. The reversal of 206416104 is 401614602.

206416104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32017 + ... + 37919.

It is an arithmetic number, because the mean of its divisors is an integer number (8501760).

Almost surely, 2^206416104 is an apocalyptic number.

206416104 is a gapful number since it is divisible by the number (24) 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 206416104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272056320).

206416104 is an abundant number, since it is smaller than the sum of its proper divisors (337696536).

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

206416104 is a wasteful number, since it uses less digits than its factorization.

206416104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 206416104 is about 14367.1884514682. The cubic root of 206416104 is about 590.9914422964.

The spelling of 206416104 in words is "two hundred six million, four hundred sixteen thousand, one hundred four".