105561122643 has 32 divisors (see below), whose sum is σ = 157806118400. Its totient is φ = 69737306400.

The previous prime is 105561122609. The next prime is 105561122663. The reversal of 105561122643 is 346221165501.

105561122643 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 1 + 1 + 2 + 2 + 643 = 666.

It is not a de Polignac number, because 105561122643 - 2¹² = 105561118547 is a prime.

It is a super-2 number, since 2×105561122643² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105561122598 and 105561122607.

It is not an unprimeable number, because it can be changed into a prime (105561122663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004378 + ... + 2056368.

It is an arithmetic number, because the mean of its divisors is an integer number (4931441200).

Almost surely, 2^105561122643 is an apocalyptic number.

105561122643 is a deficient number, since it is larger than the sum of its proper divisors (52244995757).

105561122643 is a wasteful number, since it uses less digits than its factorization.

105561122643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52680 (or 52674 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105561122643 in words is "one hundred five billion, five hundred sixty-one million, one hundred twenty-two thousand, six hundred forty-three".