105055501101061 has 12 divisors (see below), whose sum is σ = 122227689923820. Its totient is φ = 90032636379840.

The previous prime is 105055501101053. The next prime is 105055501101073. The reversal of 105055501101061 is 160101105550501.

It can be written as a sum of positive squares in 2 ways, for example, as 101526400712961 + 3529100388100 = 10076031^2 + 1878590^2 .

It is not a de Polignac number, because 105055501101061 - 2³ = 105055501101053 is a prime.

It is a super-2 number, since 2×105055501101061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055501101041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177511000 + ... + 178101841.

It is an arithmetic number, because the mean of its divisors is an integer number (10185640826985).

Almost surely, 2^{105055501101061} is an apocalyptic number.

It is an amenable number.

105055501101061 is a deficient number, since it is larger than the sum of its proper divisors (17172188822759).

105055501101061 is an equidigital number, since it uses as much as digits as its factorization.

105055501101061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355618884 (or 355618877 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 31.

Adding to 105055501101061 its reverse (160101105550501), we get a palindrome (265156606651562).

The spelling of 105055501101061 in words is "one hundred five trillion, fifty-five billion, five hundred one million, one hundred one thousand, sixty-one".