105610106110056 has 64 divisors (see below), whose sum is σ = 265346176440000. Its totient is φ = 35027441957376.

The previous prime is 105610106110009. The next prime is 105610106110097. The reversal of 105610106110056 is 650011601016501.

It is a super-2 number, since 2×105610106110056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105610106109999 and 105610106110026.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593380 + ... + 14762988.

It is an arithmetic number, because the mean of its divisors is an integer number (4146034006875).

Almost surely, 2^{105610106110056} is an apocalyptic number.

It is an amenable number.

105610106110056 is an abundant number, since it is smaller than the sum of its proper divisors (159736070329944).

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

105610106110056 is a wasteful number, since it uses less digits than its factorization.

105610106110056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171426 (or 12171422 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

Adding to 105610106110056 its reverse (650011601016501), we get a palindrome (755621707126557).

The spelling of 105610106110056 in words is "one hundred five trillion, six hundred ten billion, one hundred six million, one hundred ten thousand, fifty-six".