105695785088 has 64 divisors (see below), whose sum is σ = 214688565720. Its totient is φ = 51814563840.

The previous prime is 105695785087. The next prime is 105695785127. The reversal of 105695785088 is 880587596501.

It can be written as a sum of positive squares in 4 ways, for example, as 104815357504 + 880427584 = 323752^2 + 29672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105695785088² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105695785088.

It is not an unprimeable number, because it can be changed into a prime (105695785087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11507858 + ... + 11517038.

Almost surely, 2^105695785088 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 105695785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107344282860).

105695785088 is an abundant number, since it is smaller than the sum of its proper divisors (108992780632).

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

105695785088 is an equidigital number, since it uses as much as digits as its factorization.

105695785088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 62.

The spelling of 105695785088 in words is "one hundred five billion, six hundred ninety-five million, seven hundred eighty-five thousand, eighty-eight".