105610010605056 has 60 divisors (see below), whose sum is σ = 304797641297292. Its totient is φ = 35203336866816.

The previous prime is 105610010604979. The next prime is 105610010605093. The reversal of 105610010605056 is 650506010016501.

It is a super-2 number, since 2×105610010605056² (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 a self number, because there is not a number n which added to its sum of digits gives 105610010605056.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11459414946 + ... + 11459424161.

Almost surely, 2^{105610010605056} is an apocalyptic number.

105610010605056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105610010605056 is an abundant number, since it is smaller than the sum of its proper divisors (199187630692236).

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

105610010605056 is an equidigital number, since it uses as much as digits as its factorization.

105610010605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22918839131 (or 22918839112 counting only the distinct ones).

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

The spelling of 105610010605056 in words is "one hundred five trillion, six hundred ten billion, ten million, six hundred five thousand, fifty-six".