105615560106 has 36 divisors (see below), whose sum is σ = 266194322082. Its totient is φ = 30175874064.

The previous prime is 105615560021. The next prime is 105615560107. The reversal of 105615560106 is 601065516501.

It can be written as a sum of positive squares in only one way, i.e., 80670200625 + 24945359481 = 284025^2 + 157941^2 .

It is a super-2 number, since 2×105615560106² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105615560107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59871885 + ... + 59873648.

Almost surely, 2^105615560106 is an apocalyptic number.

105615560106 is an abundant number, since it is smaller than the sum of its proper divisors (160578761976).

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

105615560106 is a wasteful number, since it uses less digits than its factorization.

105615560106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119745555 (or 119745545 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105615560106 in words is "one hundred five billion, six hundred fifteen million, five hundred sixty thousand, one hundred six".