105105610055056 has 80 divisors (see below), whose sum is σ = 230896036013440. Its totient is φ = 45947817907200.

The previous prime is 105105610055023. The next prime is 105105610055077. The reversal of 105105610055056 is 650550016501501.

It is a super-2 number, since 2×105105610055056² (a number of 29 digits) contains 22 as substring.

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, 16880476 + ... + 22252228.

It is an arithmetic number, because the mean of its divisors is an integer number (2886200450168).

Almost surely, 2^{105105610055056} is an apocalyptic number.

105105610055056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105105610055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115448018006720).

105105610055056 is an abundant number, since it is smaller than the sum of its proper divisors (125790425958384).

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

105105610055056 is a wasteful number, since it uses less digits than its factorization.

105105610055056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376744 (or 5376738 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 40.

Adding to 105105610055056 its reverse (650550016501501), we get a palindrome (755655626556557).

The spelling of 105105610055056 in words is "one hundred five trillion, one hundred five billion, six hundred ten million, fifty-five thousand, fifty-six".