105510501060 has 96 divisors (see below), whose sum is σ = 307324886400. Its totient is φ = 27014077440.

The previous prime is 105510501059. The next prime is 105510501097. The reversal of 105510501060 is 60105015501.

It is a super-2 number, since 2×105510501060² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105510501060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142080 + ... + 480840.

It is an arithmetic number, because the mean of its divisors is an integer number (3201300900).

Almost surely, 2^105510501060 is an apocalyptic number.

105510501060 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 105510501060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153662443200).

105510501060 is an abundant number, since it is smaller than the sum of its proper divisors (201814385340).

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

105510501060 is a wasteful number, since it uses less digits than its factorization.

105510501060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338981 (or 338979 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105510501060 its reverse (60105015501), we get a palindrome (165615516561).

The spelling of 105510501060 in words is "one hundred five billion, five hundred ten million, five hundred one thousand, sixty".