106005610314 has 12 divisors (see below), whose sum is σ = 229678822386. Its totient is φ = 35335203432.

The previous prime is 106005610313. The next prime is 106005610339. The reversal of 106005610314 is 413016500601.

106005610314 is a `hidden beast` number, since 1 + 0 + 600 + 56 + 1 + 0 + 3 + 1 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90019801089 + 15985809225 = 300033^2 + 126435^2 .

It is a super-2 number, since 2×106005610314² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005610313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2944600269 + ... + 2944600304.

Almost surely, 2^106005610314 is an apocalyptic number.

106005610314 is an abundant number, since it is smaller than the sum of its proper divisors (123673212072).

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

106005610314 is a wasteful number, since it uses less digits than its factorization.

106005610314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889200581 (or 5889200578 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106005610314 in words is "one hundred six billion, five million, six hundred ten thousand, three hundred fourteen".