105441730720 has 24 divisors (see below), whose sum is σ = 249106089204. Its totient is φ = 42176692224.

The previous prime is 105441730661. The next prime is 105441730727. The reversal of 105441730720 is 27037144501.

105441730720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 104553929104 + 887801616 = 323348^2 + 29796^2 .

It is a super-2 number, since 2×105441730720² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105441730727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329505249 + ... + 329505568.

Almost surely, 2^105441730720 is an apocalyptic number.

105441730720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105441730720 is an abundant number, since it is smaller than the sum of its proper divisors (143664358484).

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

105441730720 is an equidigital number, since it uses as much as digits as its factorization.

105441730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659010832 (or 659010824 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 105441730720 in words is "one hundred five billion, four hundred forty-one million, seven hundred thirty thousand, seven hundred twenty".