105355623561 has 16 divisors (see below), whose sum is σ = 147874775040. Its totient is φ = 66537138960.

The previous prime is 105355623559. The next prime is 105355623587. The reversal of 105355623561 is 165326553501.

It is not a de Polignac number, because 105355623561 - 2¹ = 105355623559 is a prime.

It is a super-2 number, since 2×105355623561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105355673561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750576 + ... + 1809758.

It is an arithmetic number, because the mean of its divisors is an integer number (9242173440).

Almost surely, 2^105355623561 is an apocalyptic number.

It is an amenable number.

105355623561 is a deficient number, since it is larger than the sum of its proper divisors (42519151479).

105355623561 is a wasteful number, since it uses less digits than its factorization.

105355623561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90436.

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 105355623561 in words is "one hundred five billion, three hundred fifty-five million, six hundred twenty-three thousand, five hundred sixty-one".