103085280 has 144 divisors (see below), whose sum is σ = 372559824. Its totient is φ = 25866240.

The previous prime is 103085251. The next prime is 103085299. The reversal of 103085280 is 82580301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22375 + ... + 26585.

It is an arithmetic number, because the mean of its divisors is an integer number (2587221).

Almost surely, 2^103085280 is an apocalyptic number.

103085280 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 103085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186279912).

103085280 is an abundant number, since it is smaller than the sum of its proper divisors (269474544).

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

103085280 is a wasteful number, since it uses less digits than its factorization.

103085280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 103085280 is about 10153.0921398360. The cubic root of 103085280 is about 468.8841493381.

The spelling of 103085280 in words is "one hundred three million, eighty-five thousand, two hundred eighty".