1006140116187 has 12 divisors (see below), whose sum is σ = 1453347843480. Its totient is φ = 670744227168.

The previous prime is 1006140116171. The next prime is 1006140116207. The reversal of 1006140116187 is 7816110416001.

1006140116187 is a `hidden beast` number, since 1 + 0 + 0 + 61 + 401 + 16 + 187 = 666.

It is not a de Polignac number, because 1006140116187 - 2⁴ = 1006140116171 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006140116147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912178 + ... + 1686519.

It is an arithmetic number, because the mean of its divisors is an integer number (121112320290).

Almost surely, 2^{1006140116187} is an apocalyptic number.

1006140116187 is a deficient number, since it is larger than the sum of its proper divisors (447207727293).

1006140116187 is a wasteful number, since it uses less digits than its factorization.

1006140116187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641722 (or 2641719 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1006140116187 in words is "one trillion, six billion, one hundred forty million, one hundred sixteen thousand, one hundred eighty-seven".