106940952216 has 512 divisors, whose sum is σ = 374951116800. Its totient is φ = 27538237440.

The previous prime is 106940952197. The next prime is 106940952271. The reversal of 106940952216 is 612259049601.

106940952216 is a `hidden beast` number, since 10 + 6 + 9 + 409 + 5 + 221 + 6 = 666.

It is a super-2 number, since 2×106940952216² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 82072221 + ... + 82073523.

It is an arithmetic number, because the mean of its divisors is an integer number (732326400).

Almost surely, 2^106940952216 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 106940952216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187475558400).

106940952216 is an abundant number, since it is smaller than the sum of its proper divisors (268010164584).

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

106940952216 is a wasteful number, since it uses less digits than its factorization.

106940952216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106940952216 in words is "one hundred six billion, nine hundred forty million, nine hundred fifty-two thousand, two hundred sixteen".