105552142005 has 96 divisors (see below), whose sum is σ = 180247991040. Its totient is φ = 52735196160.

The previous prime is 105552142001. The next prime is 105552142037. The reversal of 105552142005 is 500241255501.

It is not a de Polignac number, because 105552142005 - 2² = 105552142001 is a prime.

It is a super-2 number, since 2×105552142005² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105552142001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339395800 + ... + 339396110.

It is an arithmetic number, because the mean of its divisors is an integer number (1877583240).

Almost surely, 2^105552142005 is an apocalyptic number.

105552142005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105552142005 is a deficient number, since it is larger than the sum of its proper divisors (74695849035).

105552142005 is a wasteful number, since it uses less digits than its factorization.

105552142005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

Adding to 105552142005 its reverse (500241255501), we get a palindrome (605793397506).

The spelling of 105552142005 in words is "one hundred five billion, five hundred fifty-two million, one hundred forty-two thousand, five".