105821075888640 has 1920 divisors, whose sum is σ = 449884710392832. Its totient is φ = 22438320537600.

The previous prime is 105821075888587. The next prime is 105821075888669. The reversal of 105821075888640 is 46888570128501.

105821075888640 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 2 + 1 + 0 + 7 + 588 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×105821075888640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72829370154 + ... + 72829371606.

Almost surely, 2^{105821075888640} is an apocalyptic number.

105821075888640 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 105821075888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224942355196416).

105821075888640 is an abundant number, since it is smaller than the sum of its proper divisors (344063634504192).

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

105821075888640 is a wasteful number, since it uses less digits than its factorization.

105821075888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 105821075888640 in words is "one hundred five trillion, eight hundred twenty-one billion, seventy-five million, eight hundred eighty-eight thousand, six hundred forty".