10605006106049 has 8 divisors (see below), whose sum is σ = 10688616407040. Its totient is φ = 10521397466496.

The previous prime is 10605006106021. The next prime is 10605006106091. The reversal of 10605006106049 is 94060160050601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10605006106049 - 2²⁰ = 10605005057473 is a prime.

It is a super-2 number, since 2×10605006106049² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10605006106649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14505137 + ... + 15218705.

It is an arithmetic number, because the mean of its divisors is an integer number (1336077050880).

Almost surely, 2^{10605006106049} is an apocalyptic number.

It is an amenable number.

10605006106049 is a deficient number, since it is larger than the sum of its proper divisors (83610300991).

10605006106049 is a wasteful number, since it uses less digits than its factorization.

10605006106049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830719.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 10605006106049 in words is "ten trillion, six hundred five billion, six million, one hundred six thousand, forty-nine".