10605001060601 has 16 divisors (see below), whose sum is σ = 10795477452480. Its totient is φ = 10416318715200.

The previous prime is 10605001060579. The next prime is 10605001060603. The reversal of 10605001060601 is 10606010050601.

It is a cyclic number.

It is not a de Polignac number, because 10605001060601 - 2¹⁴ = 10605001044217 is a prime.

It is a super-2 number, since 2×10605001060601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10605001060603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17717651 + ... + 18306423.

It is an arithmetic number, because the mean of its divisors is an integer number (674717340780).

Almost surely, 2^{10605001060601} is an apocalyptic number.

It is an amenable number.

10605001060601 is a deficient number, since it is larger than the sum of its proper divisors (190476391879).

10605001060601 is a wasteful number, since it uses less digits than its factorization.

10605001060601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590296.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 10605001060601 in words is "ten trillion, six hundred five billion, one million, sixty thousand, six hundred one".