105505405306458 has 64 divisors (see below), whose sum is σ = 216868632809472. Its totient is φ = 34208438279040.

The previous prime is 105505405306451. The next prime is 105505405306507. The reversal of 105505405306458 is 854603504505501.

105505405306458 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105505405306458² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105505405306458.

It is not an unprimeable number, because it can be changed into a prime (105505405306451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5403553 + ... + 15498683.

It is an arithmetic number, because the mean of its divisors is an integer number (3388572387648).

Almost surely, 2^{105505405306458} is an apocalyptic number.

105505405306458 is an abundant number, since it is smaller than the sum of its proper divisors (111363227503014).

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

105505405306458 is a wasteful number, since it uses less digits than its factorization.

105505405306458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095539.

The product of its (nonzero) digits is 7200000, while the sum is 51.

The spelling of 105505405306458 in words is "one hundred five trillion, five hundred five billion, four hundred five million, three hundred six thousand, four hundred fifty-eight".