105871849512 has 384 divisors, whose sum is σ = 330795601920. Its totient is φ = 27945216000.

The previous prime is 105871849387. The next prime is 105871849519. The reversal of 105871849512 is 215948178501.

It is a happy number.

It is a super-2 number, since 2×105871849512² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105871849519) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56706003 + ... + 56707869.

It is an arithmetic number, because the mean of its divisors is an integer number (861446880).

Almost surely, 2^105871849512 is an apocalyptic number.

105871849512 is a gapful number since it is divisible by the number (12) 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 105871849512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165397800960).

105871849512 is an abundant number, since it is smaller than the sum of its proper divisors (224923752408).

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

105871849512 is a wasteful number, since it uses less digits than its factorization.

105871849512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The spelling of 105871849512 in words is "one hundred five billion, eight hundred seventy-one million, eight hundred forty-nine thousand, five hundred twelve".