105605551060 has 12 divisors (see below), whose sum is σ = 221771657268. Its totient is φ = 42242220416.

The previous prime is 105605550979. The next prime is 105605551067. The reversal of 105605551060 is 60155506501.

It can be written as a sum of positive squares in 2 ways, for example, as 73591753284 + 32013797776 = 271278^2 + 178924^2 .

It is a super-3 number, since 3×105605551060³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605551067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2640138757 + ... + 2640138796.

It is an arithmetic number, because the mean of its divisors is an integer number (18480971439).

Almost surely, 2^105605551060 is an apocalyptic number.

105605551060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605551060 is an abundant number, since it is smaller than the sum of its proper divisors (116166106208).

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

105605551060 is a wasteful number, since it uses less digits than its factorization.

105605551060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280277562 (or 5280277560 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105605551060 in words is "one hundred five billion, six hundred five million, five hundred fifty-one thousand, sixty".