10540405505 has 16 divisors (see below), whose sum is σ = 14457316224. Its totient is φ = 7226755200.

The previous prime is 10540405493. The next prime is 10540405531. The reversal of 10540405505 is 50550404501.

It is a happy number.

It is not a de Polignac number, because 10540405505 - 2⁴ = 10540405489 is a prime.

It is a super-2 number, since 2×10540405505² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343805 + ... + 373205.

It is an arithmetic number, because the mean of its divisors is an integer number (903582264).

Almost surely, 2^10540405505 is an apocalyptic number.

It is an amenable number.

10540405505 is a deficient number, since it is larger than the sum of its proper divisors (3916910719).

10540405505 is a wasteful number, since it uses less digits than its factorization.

10540405505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39656.

The product of its (nonzero) digits is 10000, while the sum is 29.

The spelling of 10540405505 in words is "ten billion, five hundred forty million, four hundred five thousand, five hundred five".