105510010605060 has 96 divisors (see below), whose sum is σ = 295781311728000. Its totient is φ = 28102376171520.

The previous prime is 105510010605059. The next prime is 105510010605089. The reversal of 105510010605060 is 60506010015501.

It is a super-2 number, since 2×105510010605060² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176109891 + ... + 176707989.

It is an arithmetic number, because the mean of its divisors is an integer number (3081055330500).

Almost surely, 2^{105510010605060} is an apocalyptic number.

105510010605060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105510010605060 is an abundant number, since it is smaller than the sum of its proper divisors (190271301122940).

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

105510010605060 is a wasteful number, since it uses less digits than its factorization.

105510010605060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601621 (or 601619 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105510010605060 in words is "one hundred five trillion, five hundred ten billion, ten million, six hundred five thousand, sixty".