100001107 has 2 divisors, whose sum is σ = 100001108. Its totient is φ = 100001106.

The previous prime is 100001087. The next prime is 100001119. The reversal of 100001107 is 701100001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001093 and 100001102.

It is not a weakly prime, because it can be changed into another prime (100001147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000553 + 50000554.

It is an arithmetic number, because the mean of its divisors is an integer number (50000554).

Almost surely, 2^100001107 is an apocalyptic number.

100001107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001107 is an equidigital number, since it uses as much as digits as its factorization.

100001107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 100001107 is about 10000.0553498468. The cubic root of 100001107 is about 464.1605961012.

Adding to 100001107 its reverse (701100001), we get a palindrome (801101108).

The spelling of 100001107 in words is "one hundred million, one thousand, one hundred seven".