105643110546150 has 192 divisors, whose sum is σ = 271912292928000. Its totient is φ = 27122577408000.

The previous prime is 105643110546121. The next prime is 105643110546199. The reversal of 105643110546150 is 51645011346501.

It is a happy number.

It is a super-2 number, since 2×105643110546150² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215133601 + ... + 215624099.

It is an arithmetic number, because the mean of its divisors is an integer number (1416209859000).

Almost surely, 2^{105643110546150} is an apocalyptic number.

105643110546150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105643110546150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135956146464000).

105643110546150 is an abundant number, since it is smaller than the sum of its proper divisors (166269182381850).

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

105643110546150 is a wasteful number, since it uses less digits than its factorization.

105643110546150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490959 (or 490954 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 105643110546150 in words is "one hundred five trillion, six hundred forty-three billion, one hundred ten million, five hundred forty-six thousand, one hundred fifty".