105143083706880 has 640 divisors, whose sum is σ = 374546416780800. Its totient is φ = 27958011494400.

The previous prime is 105143083706831. The next prime is 105143083706923. The reversal of 105143083706880 is 88607380341501.

It is a happy number.

105143083706880 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 430 + 8 + 3 + 70 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×105143083706880² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50525267440 + ... + 50525269520.

It is an arithmetic number, because the mean of its divisors is an integer number (585228776220).

Almost surely, 2^{105143083706880} is an apocalyptic number.

105143083706880 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 105143083706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187273208390400).

105143083706880 is an abundant number, since it is smaller than the sum of its proper divisors (269403333073920).

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

105143083706880 is a wasteful number, since it uses less digits than its factorization.

105143083706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 105143083706880 in words is "one hundred five trillion, one hundred forty-three billion, eighty-three million, seven hundred six thousand, eight hundred eighty".