105605341460 has 12 divisors (see below), whose sum is σ = 221771217108. Its totient is φ = 42242136576.

The previous prime is 105605341451. The next prime is 105605341531. The reversal of 105605341460 is 64143506501.

105605341460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38882318596 + 66723022864 = 197186^2 + 258308^2 .

It is a super-2 number, since 2×105605341460² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105605341460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2640133517 + ... + 2640133556.

It is an arithmetic number, because the mean of its divisors is an integer number (18480934759).

Almost surely, 2^105605341460 is an apocalyptic number.

105605341460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605341460 is an abundant number, since it is smaller than the sum of its proper divisors (116165875648).

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

105605341460 is a wasteful number, since it uses less digits than its factorization.

105605341460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280267082 (or 5280267080 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 105605341460 its reverse (64143506501), we get a palindrome (169748847961).

The spelling of 105605341460 in words is "one hundred five billion, six hundred five million, three hundred forty-one thousand, four hundred sixty".