105289444096 has 108 divisors (see below), whose sum is σ = 215286511608. Its totient is φ = 51388710912.

The previous prime is 105289444093. The next prime is 105289444097. The reversal of 105289444096 is 690444982501.

It is a super-3 number, since 3×105289444096³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105289444093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154156971 + ... + 154157653.

It is an arithmetic number, because the mean of its divisors is an integer number (1993393626).

Almost surely, 2^105289444096 is an apocalyptic number.

105289444096 is a gapful number since it is divisible by the number (16) 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 105289444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107643255804).

105289444096 is an abundant number, since it is smaller than the sum of its proper divisors (109997067512).

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

105289444096 is an frugal number, since it uses more digits than its factorization.

105289444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 105289444096 in words is "one hundred five billion, two hundred eighty-nine million, four hundred forty-four thousand, ninety-six".