103205080 has 64 divisors (see below), whose sum is σ = 255052800. Its totient is φ = 37272960.

The previous prime is 103205057. The next prime is 103205119. The reversal of 103205080 is 80502301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71001 + ... + 72439.

It is an arithmetic number, because the mean of its divisors is an integer number (3985200).

Almost surely, 2^103205080 is an apocalyptic number.

103205080 is a gapful number since it is divisible by the number (10) 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 103205080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127526400).

103205080 is an abundant number, since it is smaller than the sum of its proper divisors (151847720).

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

103205080 is a wasteful number, since it uses less digits than its factorization.

103205080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 103205080 is about 10158.9901072892. The cubic root of 103205080 is about 469.0657160791.

Adding to 103205080 its reverse (80502301), we get a palindrome (183707381).

It can be divided in two parts, 10320 and 5080, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 103205080 in words is "one hundred three million, two hundred five thousand, eighty".