105600061086 has 64 divisors (see below), whose sum is σ = 235943608320. Its totient is φ = 31298492160.

The previous prime is 105600061019. The next prime is 105600061097. The reversal of 105600061086 is 680160006501.

105600061086 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105600061086² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43651 + ... + 461633.

It is an arithmetic number, because the mean of its divisors is an integer number (3686618880).

Almost surely, 2^105600061086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105600061086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117971804160).

105600061086 is an abundant number, since it is smaller than the sum of its proper divisors (130343547234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105600061086 is a wasteful number, since it uses less digits than its factorization.

105600061086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418121.

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 105600061086 its reverse (680160006501), we get a palindrome (785760067587).

The spelling of 105600061086 in words is "one hundred five billion, six hundred million, sixty-one thousand, eighty-six".