105309959616 has 84 divisors (see below), whose sum is σ = 302152812000. Its totient is φ = 35068336128.

The previous prime is 105309959611. The next prime is 105309959693. The reversal of 105309959616 is 616959903501.

It is a happy number.

105309959616 is a `hidden beast` number, since 1 + 0 + 5 + 30 + 9 + 9 + 596 + 16 = 666.

It is a super-2 number, since 2×105309959616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105309959611) 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 11 ways as a sum of consecutive naturals, for example, 490585 + ... + 671783.

Almost surely, 2^105309959616 is an apocalyptic number.

105309959616 is a gapful number since it is divisible by the number (16) 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 105309959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076406000).

105309959616 is an abundant number, since it is smaller than the sum of its proper divisors (196842852384).

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

105309959616 is a wasteful number, since it uses less digits than its factorization.

105309959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182226 (or 182213 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 105309959616 in words is "one hundred five billion, three hundred nine million, nine hundred fifty-nine thousand, six hundred sixteen".