105561511056 has 60 divisors (see below), whose sum is σ = 295453002000. Its totient is φ = 35183908800.

The previous prime is 105561511049. The next prime is 105561511079. The reversal of 105561511056 is 650115165501.

It is a happy number.

105561511056 is a `hidden beast` number, since 1 + 0 + 556 + 1 + 51 + 1 + 0 + 56 = 666.

It is a super-2 number, since 2×105561511056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105561511056.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1909695 + ... + 1964193.

It is an arithmetic number, because the mean of its divisors is an integer number (4924216700).

Almost surely, 2^105561511056 is an apocalyptic number.

105561511056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105561511056 is an abundant number, since it is smaller than the sum of its proper divisors (189891490944).

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

105561511056 is a wasteful number, since it uses less digits than its factorization.

105561511056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67964 (or 67955 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

Adding to 105561511056 its reverse (650115165501), we get a palindrome (755676676557).

The spelling of 105561511056 in words is "one hundred five billion, five hundred sixty-one million, five hundred eleven thousand, fifty-six".