106342336116 has 72 divisors (see below), whose sum is σ = 274004423784. Its totient is φ = 34763040000.

The previous prime is 106342336099. The next prime is 106342336147. The reversal of 106342336116 is 611633243601.

106342336116 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 2 + 33 + 611 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64643062500 + 41699273616 = 254250^2 + 204204^2 .

It is a super-2 number, since 2×106342336116² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4714866 + ... + 4737366.

It is an arithmetic number, because the mean of its divisors is an integer number (3805616997).

Almost surely, 2^106342336116 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 106342336116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137002211892).

106342336116 is an abundant number, since it is smaller than the sum of its proper divisors (167662087668).

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

106342336116 is a wasteful number, since it uses less digits than its factorization.

106342336116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25041 (or 25036 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 106342336116 its reverse (611633243601), we get a palindrome (717975579717).

The spelling of 106342336116 in words is "one hundred six billion, three hundred forty-two million, three hundred thirty-six thousand, one hundred sixteen".