105944112000 has 896 divisors, whose sum is σ = 409055512320. Its totient is φ = 27247104000.

The previous prime is 105944111957. The next prime is 105944112007. The reversal of 105944112000 is 211449501.

105944112000 is a `hidden beast` number, since 10 + 5 + 9 + 441 + 1 + 200 + 0 = 666.

It is a super-2 number, since 2×105944112000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105944112007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 361583854 + ... + 361584146.

It is an arithmetic number, because the mean of its divisors is an integer number (456535170).

Almost surely, 2^105944112000 is an apocalyptic number.

105944112000 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 105944112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204527756160).

105944112000 is an abundant number, since it is smaller than the sum of its proper divisors (303111400320).

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

105944112000 is an frugal number, since it uses more digits than its factorization.

105944112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 334 counting only the distinct ones).

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

The spelling of 105944112000 in words is "one hundred five billion, nine hundred forty-four million, one hundred twelve thousand".