105055453844000 has 384 divisors, whose sum is σ = 293923352346624. Its totient is φ = 36529384320000.

The previous prime is 105055453843961. The next prime is 105055453844041. The reversal of 105055453844000 is 448354550501.

It is a super-2 number, since 2×105055453844000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3553117217 + ... + 3553146783.

It is an arithmetic number, because the mean of its divisors is an integer number (765425396736).

Almost surely, 2^{105055453844000} is an apocalyptic number.

105055453844000 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 105055453844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146961676173312).

105055453844000 is an abundant number, since it is smaller than the sum of its proper divisors (188867898502624).

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

105055453844000 is a wasteful number, since it uses less digits than its factorization.

105055453844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33137 (or 33119 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 44.

The spelling of 105055453844000 in words is "one hundred five trillion, fifty-five billion, four hundred fifty-three million, eight hundred forty-four thousand".