105397853184000 has 3360 divisors, whose sum is σ = 435531477610944. Its totient is φ = 25340254617600.

The previous prime is 105397853183983. The next prime is 105397853184031. The reversal of 105397853184000 is 481358793501.

105397853184000 is a `hidden beast` number, since 1 + 0 + 5 + 39 + 78 + 531 + 8 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×105397853184000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1023280127949 + ... + 1023280128051.

Almost surely, 2^{105397853184000} is an apocalyptic number.

105397853184000 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 105397853184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217765738805472).

105397853184000 is an abundant number, since it is smaller than the sum of its proper divisors (330133624426944).

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

105397853184000 is an equidigital number, since it uses as much as digits as its factorization.

105397853184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 105397853184000 in words is "one hundred five trillion, three hundred ninety-seven billion, eight hundred fifty-three million, one hundred eighty-four thousand".