105700441616 has 40 divisors (see below), whose sum is σ = 255328342464. Its totient is φ = 41181989760.

The previous prime is 105700441571. The next prime is 105700441619. The reversal of 105700441616 is 616144007501.

It is a super-2 number, since 2×105700441616² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105700441619) 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, 42896675 + ... + 42899138.

Almost surely, 2^105700441616 is an apocalyptic number.

105700441616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105700441616 is an abundant number, since it is smaller than the sum of its proper divisors (149627900848).

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

105700441616 is a wasteful number, since it uses less digits than its factorization.

105700441616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85795839 (or 85795833 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 105700441616 in words is "one hundred five billion, seven hundred million, four hundred forty-one thousand, six hundred sixteen".