105848766720 has 216 divisors, whose sum is σ = 366490005336. Its totient is φ = 28205973504.

The previous prime is 105848766707. The next prime is 105848766721. The reversal of 105848766720 is 27667848501.

It can be written as a sum of positive squares in 4 ways, for example, as 218566656 + 105630200064 = 14784^2 + 325008^2 .

It is a super-2 number, since 2×105848766720² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105848766721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22726632 + ... + 22731288.

Almost surely, 2^105848766720 is an apocalyptic number.

105848766720 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 105848766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183245002668).

105848766720 is an abundant number, since it is smaller than the sum of its proper divisors (260641238616).

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

105848766720 is a wasteful number, since it uses less digits than its factorization.

105848766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 105848766720 in words is "one hundred five billion, eight hundred forty-eight million, seven hundred sixty-six thousand, seven hundred twenty".