205103664 has 120 divisors (see below), whose sum is σ = 604461312. Its totient is φ = 67314240.

The previous prime is 205103663. The next prime is 205103669. The reversal of 205103664 is 466301502.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205103663) 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 23 ways as a sum of consecutive naturals, for example, 275677 + ... + 276419.

Almost surely, 2^205103664 is an apocalyptic number.

205103664 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 205103664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302230656).

205103664 is an abundant number, since it is smaller than the sum of its proper divisors (399357648).

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

205103664 is an equidigital number, since it uses as much as digits as its factorization.

205103664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205103664 is about 14321.4407096493. The cubic root of 205103664 is about 589.7362260534.

The spelling of 205103664 in words is "two hundred five million, one hundred three thousand, six hundred sixty-four".