105116066020 has 96 divisors (see below), whose sum is σ = 263819501568. Its totient is φ = 34397903232.

The previous prime is 105116065961. The next prime is 105116066063. The reversal of 105116066020 is 20660611501.

It is a super-2 number, since 2×105116066020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105116066020.

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 31 ways as a sum of consecutive naturals, for example, 1455607 + ... + 1526113.

It is an arithmetic number, because the mean of its divisors is an integer number (2748119808).

Almost surely, 2^105116066020 is an apocalyptic number.

105116066020 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 105116066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131909750784).

105116066020 is an abundant number, since it is smaller than the sum of its proper divisors (158703435548).

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

105116066020 is a wasteful number, since it uses less digits than its factorization.

105116066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71009 (or 71007 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 105116066020 its reverse (20660611501), we get a palindrome (125776677521).

The spelling of 105116066020 in words is "one hundred five billion, one hundred sixteen million, sixty-six thousand, twenty".