105606101014 has 16 divisors (see below), whose sum is σ = 161002915920. Its totient is φ = 51942280320.

The previous prime is 105606101011. The next prime is 105606101089. The reversal of 105606101014 is 410101606501.

It is a super-3 number, since 3×105606101014³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105606101014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606101011) 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, 898927 + ... + 1009594.

It is an arithmetic number, because the mean of its divisors is an integer number (10062682245).

Almost surely, 2^105606101014 is an apocalyptic number.

105606101014 is a deficient number, since it is larger than the sum of its proper divisors (55396814906).

105606101014 is a wasteful number, since it uses less digits than its factorization.

105606101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908975.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 105606101014 its reverse (410101606501), we get a palindrome (515707707515).

The spelling of 105606101014 in words is "one hundred five billion, six hundred six million, one hundred one thousand, fourteen".