107100001 has 2 divisors, whose sum is σ = 107100002. Its totient is φ = 107100000.

The previous prime is 107099977. The next prime is 107100011. The reversal of 107100001 is 100001701.

It is an a-pointer prime, because the next prime (107100011) can be obtained adding 107100001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98485776 + 8614225 = 9924^2 + 2935^2 .

It is a cyclic number.

It is not a de Polignac number, because 107100001 - 2⁷ = 107099873 is a prime.

It is a super-2 number, since 2×107100001² = 22940820428400002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53550000 + 53550001.

It is an arithmetic number, because the mean of its divisors is an integer number (53550001).

Almost surely, 2^107100001 is an apocalyptic number.

It is an amenable number.

107100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

107100001 is an equidigital number, since it uses as much as digits as its factorization.

107100001 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 107100001 is about 10348.9130347105. The cubic root of 107100001 is about 474.8937912122.

Adding to 107100001 its reverse (100001701), we get a palindrome (207101702).

The spelling of 107100001 in words is "one hundred seven million, one hundred thousand, one".