105511101060 has 96 divisors (see below), whose sum is σ = 305093198592. Its totient is φ = 27224501760.

The previous prime is 105511101037. The next prime is 105511101061. The reversal of 105511101060 is 60101115501.

It is a happy number.

It is a super-2 number, since 2×105511101060² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105511101061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270529 + ... + 533111.

It is an arithmetic number, because the mean of its divisors is an integer number (3178054152).

Almost surely, 2^105511101060 is an apocalyptic number.

105511101060 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 105511101060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152546599296).

105511101060 is an abundant number, since it is smaller than the sum of its proper divisors (199582097532).

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

105511101060 is a wasteful number, since it uses less digits than its factorization.

105511101060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262813 (or 262811 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105511101060 its reverse (60101115501), we get a palindrome (165612216561).

The spelling of 105511101060 in words is "one hundred five billion, five hundred eleven million, one hundred one thousand, sixty".