105601101056010 has 48 divisors (see below), whose sum is σ = 313786128854016. Its totient is φ = 24137394526944.

The previous prime is 105601101055949. The next prime is 105601101056023. The reversal of 105601101056010 is 10650101106501.

105601101056010 is a `hidden beast` number, since 1 + 0 + 5 + 601 + 1 + 0 + 1 + 0 + 56 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×105601101056010² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83810397034 + ... + 83810398293.

It is an arithmetic number, because the mean of its divisors is an integer number (6537211017792).

Almost surely, 2^{105601101056010} is an apocalyptic number.

105601101056010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105601101056010 is an abundant number, since it is smaller than the sum of its proper divisors (208185027798006).

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

105601101056010 is a wasteful number, since it uses less digits than its factorization.

105601101056010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167620795347 (or 167620795344 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105601101056010 in words is "one hundred five trillion, six hundred one billion, one hundred one million, fifty-six thousand, ten".