105411143016 has 128 divisors (see below), whose sum is σ = 296770070400. Its totient is φ = 35095996224.

The previous prime is 105411143011. The next prime is 105411143017. The reversal of 105411143016 is 610341114501.

105411143016 is a `hidden beast` number, since 1 + 0 + 541 + 114 + 3 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×105411143016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105411143011) 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, 17440491 + ... + 17446533.

It is an arithmetic number, because the mean of its divisors is an integer number (2318516175).

Almost surely, 2^105411143016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105411143016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148385035200).

105411143016 is an abundant number, since it is smaller than the sum of its proper divisors (191358927384).

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

105411143016 is an frugal number, since it uses more digits than its factorization.

105411143016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 105411143016 its reverse (610341114501), we get a palindrome (715752257517).

The spelling of 105411143016 in words is "one hundred five billion, four hundred eleven million, one hundred forty-three thousand, sixteen".