105001061000061 has 16 divisors (see below), whose sum is σ = 140538185846784. Its totient is φ = 69732338586864.

The previous prime is 105001061000041. The next prime is 105001061000071. The reversal of 105001061000061 is 160000160100501.

It is not a de Polignac number, because 105001061000061 - 2¹¹ = 105001060998013 is a prime.

It is a super-2 number, since 2×105001061000061² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001061000041) 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, 23037900 + ... + 27216666.

It is an arithmetic number, because the mean of its divisors is an integer number (8783636615424).

Almost surely, 2^{105001061000061} is an apocalyptic number.

It is an amenable number.

105001061000061 is a deficient number, since it is larger than the sum of its proper divisors (35537124846723).

105001061000061 is a wasteful number, since it uses less digits than its factorization.

105001061000061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210880.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 105001061000061 in words is "one hundred five trillion, one billion, sixty-one million, sixty-one", and thus it is an aban number.