106305966 has 32 divisors (see below), whose sum is σ = 254409120. Its totient is φ = 32709312.

The previous prime is 106305929. The next prime is 106305971. The reversal of 106305966 is 669503601.

106305966 is a `hidden beast` number, since 1 + 0 + 63 + 0 + 596 + 6 = 666.

It is a super-2 number, since 2×106305966² = 22601916814386312, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106305966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75015 + ... + 76418.

It is an arithmetic number, because the mean of its divisors is an integer number (7950285).

Almost surely, 2^106305966 is an apocalyptic number.

106305966 is an abundant number, since it is smaller than the sum of its proper divisors (148103154).

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

106305966 is a wasteful number, since it uses less digits than its factorization.

106305966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151457 (or 151451 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 106305966 is about 10310.4784564054. The cubic root of 106305966 is about 473.7172644887.

The spelling of 106305966 in words is "one hundred six million, three hundred five thousand, nine hundred sixty-six".