100006191 has 16 divisors (see below), whose sum is σ = 149228800. Its totient is φ = 66188664.

The previous prime is 100006187. The next prime is 100006199. The reversal of 100006191 is 191600001.

It is not a de Polignac number, because 100006191 - 2² = 100006187 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9571 + ... + 17076.

It is an arithmetic number, because the mean of its divisors is an integer number (9326800).

Almost surely, 2^100006191 is an apocalyptic number.

100006191 is a deficient number, since it is larger than the sum of its proper divisors (49222609).

100006191 is a wasteful number, since it uses less digits than its factorization.

100006191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26795 (or 26789 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 100006191 is about 10000.3095452091. The cubic root of 100006191 is about 464.1684618558.

Adding to 100006191 its reverse (191600001), we get a palindrome (291606192).

The spelling of 100006191 in words is "one hundred million, six thousand, one hundred ninety-one".