1005365106 has 12 divisors (see below), whose sum is σ = 2178291102. Its totient is φ = 335121696.

The previous prime is 1005365099. The next prime is 1005365111. The reversal of 1005365106 is 6015635001.

It is a happy number.

1005365106 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 651 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1002672225 + 2692881 = 31665^2 + 1641^2 .

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 1005365106.

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 5 ways as a sum of consecutive naturals, for example, 27926791 + ... + 27926826.

Almost surely, 2^1005365106 is an apocalyptic number.

1005365106 is an abundant number, since it is smaller than the sum of its proper divisors (1172925996).

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

1005365106 is a wasteful number, since it uses less digits than its factorization.

1005365106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55853625 (or 55853622 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1005365106 is about 31707.4928999440. The cubic root of 1005365106 is about 1001.7851799030.

The spelling of 1005365106 in words is "one billion, five million, three hundred sixty-five thousand, one hundred six".