103188480 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 27508736.

The previous prime is 103188473. The next prime is 103188499. The reversal of 103188480 is 84881301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29041 + ... + 32399.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^103188480 is an apocalyptic number.

103188480 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 103188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

103188480 is an abundant number, since it is smaller than the sum of its proper divisors (227032320).

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

103188480 is an equidigital number, since it uses as much as digits as its factorization.

103188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 103188480 is about 10158.1730640898. The cubic root of 103188480 is about 469.0405658042.

The spelling of 103188480 in words is "one hundred three million, one hundred eighty-eight thousand, four hundred eighty".