105843308558400 has 1008 divisors, whose sum is σ = 468346681572480. Its totient is φ = 23140886630400.

The previous prime is 105843308558371. The next prime is 105843308558401. The reversal of 105843308558400 is 4855803348501.

105843308558400 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 43 + 3 + 0 + 8 + 558 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×105843308558400² (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 not an unprimeable number, because it can be changed into a prime (105843308558401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47599410 + ... + 49773390.

Almost surely, 2^{105843308558400} is an apocalyptic number.

105843308558400 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 105843308558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234173340786240).

105843308558400 is an abundant number, since it is smaller than the sum of its proper divisors (362503373014080).

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

105843308558400 is a wasteful number, since it uses less digits than its factorization.

105843308558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174049 (or 2174021 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 105843308558400 in words is "one hundred five trillion, eight hundred forty-three billion, three hundred eight million, five hundred fifty-eight thousand, four hundred".