102029 has 4 divisors (see below), whose sum is σ = 102684. Its totient is φ = 101376.

The previous prime is 102023. The next prime is 102031. The reversal of 102029 is 920201.

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 can be written as a sum of positive squares in 2 ways, for example, as 88804 + 13225 = 298^2 + 115^2 .

It is a cyclic number.

It is not a de Polignac number, because 102029 - 2⁴ = 102013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102029.

It is not an unprimeable number, because it can be changed into a prime (102023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (25671).

2¹⁰²⁰²⁹ is an apocalyptic number.

It is an amenable number.

102029 is a deficient number, since it is larger than the sum of its proper divisors (655).

102029 is an equidigital number, since it uses as much as digits as its factorization.

102029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 102029 is about 319.4197864879. The cubic root of 102029 is about 46.7277148879.

The spelling of 102029 in words is "one hundred two thousand, twenty-nine".