105605051050060 has 24 divisors (see below), whose sum is σ = 225954958286736. Its totient is φ = 41445001166400.

The previous prime is 105605051050021. The next prime is 105605051050061. The reversal of 105605051050060 is 60050150506501.

It is a super-2 number, since 2×105605051050060² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105605051049998 and 105605051050025.

It is not an unprimeable number, because it can be changed into a prime (105605051050061) 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 7 ways as a sum of consecutive naturals, for example, 49813702266 + ... + 49813704385.

It is an arithmetic number, because the mean of its divisors is an integer number (9414789928614).

Almost surely, 2^{105605051050060} is an apocalyptic number.

105605051050060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605051050060 is an abundant number, since it is smaller than the sum of its proper divisors (120349907236676).

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

105605051050060 is a wasteful number, since it uses less digits than its factorization.

105605051050060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99627406713 (or 99627406711 counting only the distinct ones).

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

The spelling of 105605051050060 in words is "one hundred five trillion, six hundred five billion, fifty-one million, fifty thousand, sixty".