103924564480 has 240 divisors, whose sum is σ = 286915457664. Its totient is φ = 35798261760.

The previous prime is 103924564463. The next prime is 103924564487. The reversal of 103924564480 is 84465429301.

103924564480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 103924564480.

It is not an unprimeable number, because it can be changed into a prime (103924564487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10160649 + ... + 10170871.

Almost surely, 2^103924564480 is an apocalyptic number.

103924564480 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 103924564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143457728832).

103924564480 is an abundant number, since it is smaller than the sum of its proper divisors (182990893184).

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

103924564480 is a wasteful number, since it uses less digits than its factorization.

103924564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10295 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 103924564480 in words is "one hundred three billion, nine hundred twenty-four million, five hundred sixty-four thousand, four hundred eighty".