105561511044 has 48 divisors (see below), whose sum is σ = 275964257856. Its totient is φ = 31123785600.

The previous prime is 105561511043. The next prime is 105561511049. The reversal of 105561511044 is 440115165501.

It is a super-2 number, since 2×105561511044² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105561510996 and 105561511014.

It is not an unprimeable number, because it can be changed into a prime (105561511043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10801987 + ... + 10811754.

It is an arithmetic number, because the mean of its divisors is an integer number (5749255372).

Almost surely, 2^105561511044 is an apocalyptic number.

It is an amenable number.

105561511044 is an abundant number, since it is smaller than the sum of its proper divisors (170402746812).

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

105561511044 is a wasteful number, since it uses less digits than its factorization.

105561511044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21613796 (or 21613794 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 105561511044 its reverse (440115165501), we get a palindrome (545676676545).

It can be divided in two parts, 105561 and 511044, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 105561511044 in words is "one hundred five billion, five hundred sixty-one million, five hundred eleven thousand, forty-four".