105506011000 has 64 divisors (see below), whose sum is σ = 265875180480. Its totient is φ = 38956060800.

The previous prime is 105506010989. The next prime is 105506011021. The reversal of 105506011000 is 110605501.

It is a super-2 number, since 2×105506011000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 4044924 + ... + 4070923.

It is an arithmetic number, because the mean of its divisors is an integer number (4154299695).

Almost surely, 2^105506011000 is an apocalyptic number.

105506011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105506011000 is an abundant number, since it is smaller than the sum of its proper divisors (160369169480).

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

105506011000 is a wasteful number, since it uses less digits than its factorization.

105506011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115881 (or 8115867 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 105506011000 its reverse (110605501), we get a palindrome (105616616501).

The spelling of 105506011000 in words is "one hundred five billion, five hundred six million, eleven thousand".