105668075520 has 336 divisors, whose sum is σ = 418631522400. Its totient is φ = 24152113152.

The previous prime is 105668075497. The next prime is 105668075549. The reversal of 105668075520 is 25570866501.

105668075520 is a `hidden beast` number, since 1 + 0 + 56 + 6 + 8 + 0 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105668075520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560006 + ... + 2600954.

It is an arithmetic number, because the mean of its divisors is an integer number (1245927150).

Almost surely, 2^105668075520 is an apocalyptic number.

105668075520 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 105668075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209315761200).

105668075520 is an abundant number, since it is smaller than the sum of its proper divisors (312963446880).

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

105668075520 is an equidigital number, since it uses as much as digits as its factorization.

105668075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40993 (or 40966 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 105668075520 in words is "one hundred five billion, six hundred sixty-eight million, seventy-five thousand, five hundred twenty".