103205664 has 120 divisors (see below), whose sum is σ = 314220060. Its totient is φ = 33191424.

The previous prime is 103205659. The next prime is 103205689. The reversal of 103205664 is 466502301.

It can be written as a sum of positive squares in 2 ways, for example, as 91011600 + 12194064 = 9540^2 + 3492^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 74482 + ... + 75854.

Almost surely, 2^103205664 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 103205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157110030).

103205664 is an abundant number, since it is smaller than the sum of its proper divisors (211014396).

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

103205664 is a wasteful number, since it uses less digits than its factorization.

103205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1407 counting only the distinct ones).

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

The square root of 103205664 is about 10159.0188502631. The cubic root of 103205664 is about 469.0666008349.

Adding to 103205664 its reverse (466502301), we get a palindrome (569707965).

The spelling of 103205664 in words is "one hundred three million, two hundred five thousand, six hundred sixty-four".