105842062368 has 240 divisors, whose sum is σ = 356164611264. Its totient is φ = 30205094400.

The previous prime is 105842062367. The next prime is 105842062369. The reversal of 105842062368 is 863260248501.

105842062368 is a `hidden beast` number, since 1 + 0 + 5 + 84 + 206 + 2 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (105842062367) and next prime (105842062369).

It is a super-2 number, since 2×105842062368² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105842062363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18086643 + ... + 18092493.

Almost surely, 2^105842062368 is an apocalyptic number.

105842062368 is a gapful number since it is divisible by the number (18) 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 105842062368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178082305632).

105842062368 is an abundant number, since it is smaller than the sum of its proper divisors (250322548896).

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

105842062368 is an equidigital number, since it uses as much as digits as its factorization.

105842062368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 105842062368 in words is "one hundred five billion, eight hundred forty-two million, sixty-two thousand, three hundred sixty-eight".