105545001121 has 32 divisors (see below), whose sum is σ = 128539872000. Its totient is φ = 84649162752.

The previous prime is 105545001103. The next prime is 105545001169. The reversal of 105545001121 is 121100545501.

It is not a de Polignac number, because 105545001121 - 2¹³ = 105544992929 is a prime.

It is a super-3 number, since 3×105545001121³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105575001121) 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 31 ways as a sum of consecutive naturals, for example, 11939115 + ... + 11947951.

It is an arithmetic number, because the mean of its divisors is an integer number (4016871000).

Almost surely, 2^105545001121 is an apocalyptic number.

It is an amenable number.

105545001121 is a deficient number, since it is larger than the sum of its proper divisors (22994870879).

105545001121 is a wasteful number, since it uses less digits than its factorization.

105545001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961.

The product of its (nonzero) digits is 1000, while the sum is 25.

Adding to 105545001121 its reverse (121100545501), we get a palindrome (226645546622).

The spelling of 105545001121 in words is "one hundred five billion, five hundred forty-five million, one thousand, one hundred twenty-one".