105561106011020 has 96 divisors (see below), whose sum is σ = 252403349196096. Its totient is φ = 36743019622400.

The previous prime is 105561106011017. The next prime is 105561106011047. The reversal of 105561106011020 is 20110601165501.

It is a super-2 number, since 2×105561106011020² (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 31 ways as a sum of consecutive naturals, for example, 109927649 + ... + 110883768.

It is an arithmetic number, because the mean of its divisors is an integer number (2629201554126).

Almost surely, 2^{105561106011020} is an apocalyptic number.

105561106011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105561106011020 is an abundant number, since it is smaller than the sum of its proper divisors (146842243185076).

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

105561106011020 is a wasteful number, since it uses less digits than its factorization.

105561106011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220811531 (or 220811529 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 29.

Adding to 105561106011020 its reverse (20110601165501), we get a palindrome (125671707176521).

The spelling of 105561106011020 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred six million, eleven thousand, twenty".