105561106411020 has 192 divisors, whose sum is σ = 320894145331200. Its totient is φ = 25773206925312.

The previous prime is 105561106410989. The next prime is 105561106411067. The reversal of 105561106411020 is 20114601165501.

It is a super-2 number, since 2×105561106411020² (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 63 ways as a sum of consecutive naturals, for example, 400962349 + ... + 401225531.

It is an arithmetic number, because the mean of its divisors is an integer number (1671323673600).

Almost surely, 2^{105561106411020} is an apocalyptic number.

105561106411020 is a gapful number since it is divisible by the number (10) 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 105561106411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160447072665600).

105561106411020 is an abundant number, since it is smaller than the sum of its proper divisors (215333038920180).

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

105561106411020 is a wasteful number, since it uses less digits than its factorization.

105561106411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267384 (or 267382 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

Adding to 105561106411020 its reverse (20114601165501), we get a palindrome (125675707576521).

The spelling of 105561106411020 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred six million, four hundred eleven thousand, twenty".