103205000 has 40 divisors (see below), whose sum is σ = 241821030. Its totient is φ = 41280000.

The previous prime is 103204967. The next prime is 103205021. The reversal of 103205000 is 502301.

It can be written as a sum of positive squares in 5 ways, for example, as 669124 + 102535876 = 818^2 + 10126^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5321 + ... + 15320.

Almost surely, 2^103205000 is an apocalyptic number.

103205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103205000 is an abundant number, since it is smaller than the sum of its proper divisors (138616030).

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

103205000 is an equidigital number, since it uses as much as digits as its factorization.

103205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20667 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 103205000 is about 10158.9861698892. The cubic root of 103205000 is about 469.0655948794.

Adding to 103205000 its reverse (502301), we get a palindrome (103707301).

The spelling of 103205000 in words is "one hundred three million, two hundred five thousand".