10100027 has 6 divisors (see below), whose sum is σ = 11749068. Its totient is φ = 8657124.

The previous prime is 10100011. The next prime is 10100047. The reversal of 10100027 is 72000101.

It is not a de Polignac number, because 10100027 - 2⁴ = 10100011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10099990 and 10100017.

It is not an unprimeable number, because it can be changed into a prime (10100047) 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 in 5 ways as a sum of consecutive naturals, for example, 103013 + ... + 103110.

It is an arithmetic number, because the mean of its divisors is an integer number (1958178).

Almost surely, 2^10100027 is an apocalyptic number.

10100027 is a deficient number, since it is larger than the sum of its proper divisors (1649041).

10100027 is an equidigital number, since it uses as much as digits as its factorization.

10100027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206137 (or 206130 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10100027 is about 3178.0539642995. The cubic root of 10100027 is about 216.1594259115.

Adding to 10100027 its reverse (72000101), we get a palindrome (82100128).

The spelling of 10100027 in words is "ten million, one hundred thousand, twenty-seven".