105105560601060 has 96 divisors (see below), whose sum is σ = 328060208488320. Its totient is φ = 27936852545664.

The previous prime is 105105560601047. The next prime is 105105560601073. The reversal of 105105560601060 is 60106065501501.

105105560601060 is a `hidden beast` number, since 10 + 5 + 10 + 5 + 560 + 6 + 0 + 10 + 60 = 666.

105105560601060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105105560601047) and next prime (105105560601073).

It is a super-2 number, since 2×105105560601060² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 316837359 + ... + 317168918.

It is an arithmetic number, because the mean of its divisors is an integer number (3417293838420).

Almost surely, 2^{105105560601060} is an apocalyptic number.

105105560601060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105560601060 is an abundant number, since it is smaller than the sum of its proper divisors (222954647887260).

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

105105560601060 is a wasteful number, since it uses less digits than its factorization.

105105560601060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634006602 (or 634006594 counting only the distinct ones).

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

The spelling of 105105560601060 in words is "one hundred five trillion, one hundred five billion, five hundred sixty million, six hundred one thousand, sixty".