105501000006 has 24 divisors (see below), whose sum is σ = 228672948504. Its totient is φ = 35153546400.

The previous prime is 105501000001. The next prime is 105501000083. The reversal of 105501000006 is 600000105501.

105501000006 is a `hidden beast` number, since 10 + 550 + 100 + 0 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×105501000006² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105501000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072720 + ... + 1166931.

It is an arithmetic number, because the mean of its divisors is an integer number (9528039521).

Almost surely, 2^105501000006 is an apocalyptic number.

105501000006 is an abundant number, since it is smaller than the sum of its proper divisors (123171948498).

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

105501000006 is a wasteful number, since it uses less digits than its factorization.

105501000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242276 (or 2242273 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 105501000006 its reverse (600000105501), we get a palindrome (705501105507).

The spelling of 105501000006 in words is "one hundred five billion, five hundred one million, six", and thus it is an aban number.