105100882688 has 72 divisors (see below), whose sum is σ = 222230523312. Its totient is φ = 49437278208.

The previous prime is 105100882597. The next prime is 105100882693. The reversal of 105100882688 is 886288001501.

105100882688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105100882688² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13996631 + ... + 14004137.

It is an arithmetic number, because the mean of its divisors is an integer number (3086535046).

Almost surely, 2^105100882688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105100882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111115261656).

105100882688 is an abundant number, since it is smaller than the sum of its proper divisors (117129640624).

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

105100882688 is an equidigital number, since it uses as much as digits as its factorization.

105100882688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 47.

The spelling of 105100882688 in words is "one hundred five billion, one hundred million, eight hundred eighty-two thousand, six hundred eighty-eight".