9905605945 has 8 divisors (see below), whose sum is σ = 12176647560. Its totient is φ = 7731204480.

The previous prime is 9905605921. The next prime is 9905605949. The reversal of 9905605945 is 5495065099.

9905605945 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 4 ways, for example, as 133888041 + 9771717904 = 11571^2 + 98852^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9905605945 - 2⁷ = 9905605817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9905605892 and 9905605901.

It is not an unprimeable number, because it can be changed into a prime (9905605949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24159810 + ... + 24160219.

It is an arithmetic number, because the mean of its divisors is an integer number (1522080945).

Almost surely, 2^9905605945 is an apocalyptic number.

It is an amenable number.

9905605945 is a deficient number, since it is larger than the sum of its proper divisors (2271041615).

9905605945 is a wasteful number, since it uses less digits than its factorization.

9905605945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48320075.

The product of its (nonzero) digits is 2187000, while the sum is 52.

The square root of 9905605945 is about 99526.9106573694. The cubic root of 9905605945 is about 2147.6343871092.

The spelling of 9905605945 in words is "nine billion, nine hundred five million, six hundred five thousand, nine hundred forty-five".