105000111000 has 128 divisors (see below), whose sum is σ = 364000478400. Its totient is φ = 28000022400.

The previous prime is 105000110983. The next prime is 105000111001. The reversal of 105000111000 is 111000501.

It is a super-2 number, since 2×105000111000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

105000111000 is a modest number, since divided by 111000 gives 105000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000111001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1917447 + ... + 1971446.

Almost surely, 2^105000111000 is an apocalyptic number.

105000111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000111000 is an abundant number, since it is smaller than the sum of its proper divisors (259000367400).

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

105000111000 is a wasteful number, since it uses less digits than its factorization.

105000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888923 (or 3888903 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 105000111000 its reverse (111000501), we get a palindrome (105111111501).

It can be divided in two parts, 105000 and 111000, that added together give a cube (216000 = 60³).

The spelling of 105000111000 in words is "one hundred five billion, one hundred eleven thousand".