103564720480 has 96 divisors (see below), whose sum is σ = 265567970304. Its totient is φ = 37938087936.

The previous prime is 103564720451. The next prime is 103564720481. The reversal of 103564720480 is 84027465301.

103564720480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103564720480³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103564720481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68134 + ... + 460186.

It is an arithmetic number, because the mean of its divisors is an integer number (2766333024).

Almost surely, 2^103564720480 is an apocalyptic number.

103564720480 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 103564720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132783985152).

103564720480 is an abundant number, since it is smaller than the sum of its proper divisors (162003249824).

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

103564720480 is a wasteful number, since it uses less digits than its factorization.

103564720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392208 (or 392200 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 103564720480 in words is "one hundred three billion, five hundred sixty-four million, seven hundred twenty thousand, four hundred eighty".