103967280 has 160 divisors (see below), whose sum is σ = 361881600. Its totient is φ = 27433728.

The previous prime is 103967261. The next prime is 103967293. The reversal of 103967280 is 82769301.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 274131 + ... + 274509.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2^103967280 is an apocalyptic number.

103967280 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 103967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180940800).

103967280 is an abundant number, since it is smaller than the sum of its proper divisors (257914320).

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

103967280 is a wasteful number, since it uses less digits than its factorization.

103967280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 103967280 is about 10196.4346710014. The cubic root of 103967280 is about 470.2176146334.

The spelling of 103967280 in words is "one hundred three million, nine hundred sixty-seven thousand, two hundred eighty".