106853443200 has 288 divisors, whose sum is σ = 435746619360. Its totient is φ = 24423598080.

The previous prime is 106853443199. The next prime is 106853443211. The reversal of 106853443200 is 2344358601.

106853443200 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 3 + 443 + 200 = 666.

106853443200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106853443200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63414 + ... + 466613.

It is an arithmetic number, because the mean of its divisors is an integer number (1513009095).

Almost surely, 2^106853443200 is an apocalyptic number.

106853443200 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 106853443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217873309680).

106853443200 is an abundant number, since it is smaller than the sum of its proper divisors (328893176160).

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

106853443200 is a wasteful number, since it uses less digits than its factorization.

106853443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530064 (or 530044 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106853443200 in words is "one hundred six billion, eight hundred fifty-three million, four hundred forty-three thousand, two hundred".