10105611056001 has 40 divisors (see below), whose sum is σ = 15382542871080. Its totient is φ = 6609239290368.

The previous prime is 10105611055933. The next prime is 10105611056027. The reversal of 10105611056001 is 10065011650101.

10105611056001 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 56 + 1 + 1 + 0 + 5 + 600 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 725479766001 + 9380131290000 = 851751^2 + 3062700^2 .

It is not a de Polignac number, because 10105611056001 - 2¹⁹ = 10105610531713 is a prime.

It is a super-2 number, since 2×10105611056001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10105611056041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40801705 + ... + 41048633.

It is an arithmetic number, because the mean of its divisors is an integer number (384563571777).

Almost surely, 2^{10105611056001} is an apocalyptic number.

It is an amenable number.

10105611056001 is a deficient number, since it is larger than the sum of its proper divisors (5276931815079).

10105611056001 is an equidigital number, since it uses as much as digits as its factorization.

10105611056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256527 (or 256518 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10105611056001 in words is "ten trillion, one hundred five billion, six hundred eleven million, fifty-six thousand, one".