10434611506105 has 16 divisors (see below), whose sum is σ = 13073930198784. Its totient is φ = 7979868381760.

The previous prime is 10434611506091. The next prime is 10434611506171. The reversal of 10434611506105 is 50160511643401.

It is a happy number.

It is not a de Polignac number, because 10434611506105 - 2²⁷ = 10434477288377 is a prime.

It is a super-2 number, since 2×10434611506105² (a number of 27 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 (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27525781 + ... + 27902290.

It is an arithmetic number, because the mean of its divisors is an integer number (817120637424).

Almost surely, 2^{10434611506105} is an apocalyptic number.

It is an amenable number.

10434611506105 is a deficient number, since it is larger than the sum of its proper divisors (2639318692679).

10434611506105 is a wasteful number, since it uses less digits than its factorization.

10434611506105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55429736.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 10434611506105 in words is "ten trillion, four hundred thirty-four billion, six hundred eleven million, five hundred six thousand, one hundred five".