105446849376000 has 1152 divisors, whose sum is σ = 394626800655360. Its totient is φ = 24731394048000.

The previous prime is 105446849375993. The next prime is 105446849376007. The reversal of 105446849376000 is 673948644501.

It is an interprime number because it is at equal distance from previous prime (105446849375993) and next prime (105446849376007).

It is a super-2 number, since 2×105446849376000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105446849376007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6993880462 + ... + 6993895538.

It is an arithmetic number, because the mean of its divisors is an integer number (342557986680).

Almost surely, 2^{105446849376000} is an apocalyptic number.

105446849376000 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 105446849376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197313400327680).

105446849376000 is an abundant number, since it is smaller than the sum of its proper divisors (289179951279360).

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

105446849376000 is a wasteful number, since it uses less digits than its factorization.

105446849376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15338 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 105446849376000 in words is "one hundred five trillion, four hundred forty-six billion, eight hundred forty-nine million, three hundred seventy-six thousand".