105843542112 has 216 divisors, whose sum is σ = 381965161032. Its totient is φ = 27491788800.

The previous prime is 105843542081. The next prime is 105843542113. The reversal of 105843542112 is 211245348501.

105843542112 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 435 + 4 + 211 + 2 = 666.

It is a super-2 number, since 2×105843542112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105843542113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185689 + ... + 496152.

It is an arithmetic number, because the mean of its divisors is an integer number (1768357227).

Almost surely, 2^105843542112 is an apocalyptic number.

105843542112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105843542112 is an abundant number, since it is smaller than the sum of its proper divisors (276121618920).

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

105843542112 is a wasteful number, since it uses less digits than its factorization.

105843542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681882 (or 681864 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 105843542112 in words is "one hundred five billion, eight hundred forty-three million, five hundred forty-two thousand, one hundred twelve".