103716480 has 128 divisors (see below), whose sum is σ = 377873280. Its totient is φ = 23703552.

The previous prime is 103716479. The next prime is 103716517. The reversal of 103716480 is 84617301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 9582 + ... + 17298.

It is an arithmetic number, because the mean of its divisors is an integer number (2952135).

Almost surely, 2^103716480 is an apocalyptic number.

103716480 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 103716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188936640).

103716480 is an abundant number, since it is smaller than the sum of its proper divisors (274156800).

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

103716480 is an equidigital number, since it uses as much as digits as its factorization.

103716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 103716480 is about 10184.1288287217. The cubic root of 103716480 is about 469.8392086166.

It can be divided in two parts, 103716 and 480, that added together give a triangular number (104196 = T₄₅₆).

The spelling of 103716480 in words is "one hundred three million, seven hundred sixteen thousand, four hundred eighty".