105511061000 has 128 divisors (see below), whose sum is σ = 265003371360. Its totient is φ = 39177216000.

The previous prime is 105511060997. The next prime is 105511061023. The reversal of 105511061000 is 160115501.

It can be written as a sum of positive squares in 16 ways, for example, as 1064455876 + 104446605124 = 32626^2 + 323182^2 .

It is a super-2 number, since 2×105511061000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1198490 + ... + 1283510.

Almost surely, 2^105511061000 is an apocalyptic number.

105511061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105511061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132501685680).

105511061000 is an abundant number, since it is smaller than the sum of its proper divisors (159492310360).

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

105511061000 is a wasteful number, since it uses less digits than its factorization.

105511061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85132 (or 85118 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 105511061000 its reverse (160115501), we get a palindrome (105671176501).

The spelling of 105511061000 in words is "one hundred five billion, five hundred eleven million, sixty-one thousand".