105551010501105 has 64 divisors (see below), whose sum is σ = 182716988509440. Its totient is φ = 51722403449856.

The previous prime is 105551010501077. The next prime is 105551010501107. The reversal of 105551010501105 is 501105010155501.

It is a happy number.

It is not a de Polignac number, because 105551010501105 - 2¹⁴ = 105551010484721 is a prime.

It is a super-2 number, since 2×105551010501105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105551010501107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187978711 + ... + 188539379.

It is an arithmetic number, because the mean of its divisors is an integer number (2854952945460).

Almost surely, 2^{105551010501105} is an apocalyptic number.

105551010501105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105551010501105 is a deficient number, since it is larger than the sum of its proper divisors (77165978008335).

105551010501105 is a wasteful number, since it uses less digits than its factorization.

105551010501105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565170.

The product of its (nonzero) digits is 3125, while the sum is 30.

Adding to 105551010501105 its reverse (501105010155501), we get a palindrome (606656020656606).

The spelling of 105551010501105 in words is "one hundred five trillion, five hundred fifty-one billion, ten million, five hundred one thousand, one hundred five".