105308880768 has 1152 divisors, whose sum is σ = 407665440000. Its totient is φ = 25994981376.

The previous prime is 105308880757. The next prime is 105308880769. The reversal of 105308880768 is 867088803501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×105308880768⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105308880769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1268781655 + ... + 1268781737.

It is an arithmetic number, because the mean of its divisors is an integer number (353876250).

Almost surely, 2^105308880768 is an apocalyptic number.

105308880768 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 105308880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203832720000).

105308880768 is an abundant number, since it is smaller than the sum of its proper divisors (302356559232).

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

105308880768 is a wasteful number, since it uses less digits than its factorization.

105308880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 105308880768 in words is "one hundred five billion, three hundred eight million, eight hundred eighty thousand, seven hundred sixty-eight".