103361280 has 144 divisors (see below), whose sum is σ = 360267264. Its totient is φ = 25047040.

The previous prime is 103361263. The next prime is 103361299. The reversal of 103361280 is 82163301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103361280.

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, 41017 + ... + 43463.

It is an arithmetic number, because the mean of its divisors is an integer number (2501856).

Almost surely, 2^103361280 is an apocalyptic number.

103361280 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 103361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180133632).

103361280 is an abundant number, since it is smaller than the sum of its proper divisors (256905984).

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

103361280 is a wasteful number, since it uses less digits than its factorization.

103361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 103361280 is about 10166.6749726742. The cubic root of 103361280 is about 469.3022391016.

The spelling of 103361280 in words is "one hundred three million, three hundred sixty-one thousand, two hundred eighty".