10100029 has 4 divisors (see below), whose sum is σ = 10106460. Its totient is φ = 10093600.

The previous prime is 10100011. The next prime is 10100047. The reversal of 10100029 is 92000101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (10100011) and next prime (10100047).

It can be written as a sum of positive squares in 2 ways, for example, as 7452900 + 2647129 = 2730^2 + 1627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100029 - 2⁵ = 10099997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10099991 and 10100018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100009) 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 3 ways as a sum of consecutive naturals, for example, 879 + ... + 4579.

It is an arithmetic number, because the mean of its divisors is an integer number (2526615).

Almost surely, 2^10100029 is an apocalyptic number.

It is an amenable number.

10100029 is a deficient number, since it is larger than the sum of its proper divisors (6431).

10100029 is an equidigital number, since it uses as much as digits as its factorization.

10100029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10100029 is about 3178.0542789575. The cubic root of 10100029 is about 216.1594401794.

The spelling of 10100029 in words is "ten million, one hundred thousand, twenty-nine".