10546505345 has 16 divisors (see below), whose sum is σ = 13126570128. Its totient is φ = 8127878400.

The previous prime is 10546505341. The next prime is 10546505369. The reversal of 10546505345 is 54350564501.

10546505345 is digitally balanced in base 2, 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 8 ways, for example, as 4623048049 + 5923457296 = 67993^2 + 76964^2 .

It is not a de Polignac number, because 10546505345 - 2² = 10546505341 is a prime.

It is a super-2 number, since 2×10546505345² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10546505299 and 10546505308.

It is not an unprimeable number, because it can be changed into a prime (10546505341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263534 + ... + 300903.

It is an arithmetic number, because the mean of its divisors is an integer number (820410633).

Almost surely, 2^10546505345 is an apocalyptic number.

It is an amenable number.

10546505345 is a deficient number, since it is larger than the sum of its proper divisors (2580064783).

10546505345 is a wasteful number, since it uses less digits than its factorization.

10546505345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564580.

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 10546505345 in words is "ten billion, five hundred forty-six million, five hundred five thousand, three hundred forty-five".