105600061085 has 16 divisors (see below), whose sum is σ = 130348120752. Its totient is φ = 82068480000.

The previous prime is 105600061019. The next prime is 105600061097. The reversal of 105600061085 is 580160006501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8488673956 + 97111387129 = 92134^2 + 311627^2 .

It is not a de Polignac number, because 105600061085 - 2¹⁴ = 105600044701 is a prime.

It is a super-3 number, since 3×105600061085³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326666 + ... + 563835.

It is an arithmetic number, because the mean of its divisors is an integer number (8146757547).

Almost surely, 2^105600061085 is an apocalyptic number.

It is an amenable number.

105600061085 is a deficient number, since it is larger than the sum of its proper divisors (24748059667).

105600061085 is an equidigital number, since it uses as much as digits as its factorization.

105600061085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891184.

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 105600061085 its reverse (580160006501), we get a palindrome (685760067586).

The spelling of 105600061085 in words is "one hundred five billion, six hundred million, sixty-one thousand, eighty-five".