10540424310345 has 24 divisors (see below), whose sum is σ = 18270475289352. Its totient is φ = 5621434560000.

The previous prime is 10540424310329. The next prime is 10540424310349. The reversal of 10540424310345 is 54301342404501.

10540424310345 is a `hidden beast` number, since 1 + 0 + 5 + 404 + 243 + 1 + 0 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 384494245776 + 10155930064569 = 620076^2 + 3186837^2 .

It is not a de Polignac number, because 10540424310345 - 2⁴ = 10540424310329 is a prime.

It is a super-2 number, since 2×10540424310345² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540424310349) 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, 542656 + ... + 4623345.

It is an arithmetic number, because the mean of its divisors is an integer number (761269803723).

Almost surely, 2^{10540424310345} is an apocalyptic number.

10540424310345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10540424310345 is a deficient number, since it is larger than the sum of its proper divisors (7730050979007).

10540424310345 is a wasteful number, since it uses less digits than its factorization.

10540424310345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211353 (or 5211350 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10540424310345 its reverse (54301342404501), we get a palindrome (64841766714846).

The spelling of 10540424310345 in words is "ten trillion, five hundred forty billion, four hundred twenty-four million, three hundred ten thousand, three hundred forty-five".