102929 has 2 divisors, whose sum is σ = 102930. Its totient is φ = 102928.

The previous prime is 102913. The next prime is 102931. The reversal of 102929 is 929201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 529 = 320^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 102929 - 2⁴ = 102913 is a prime.

Together with 102931, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102929.

It is not a weakly prime, because it can be changed into another prime (102229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51464 + 51465.

It is an arithmetic number, because the mean of its divisors is an integer number (51465).

2¹⁰²⁹²⁹ is an apocalyptic number.

It is an amenable number.

102929 is a deficient number, since it is larger than the sum of its proper divisors (1).

102929 is an equidigital number, since it uses as much as digits as its factorization.

102929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 102929 is about 320.8254977398. The cubic root of 102929 is about 46.8647082591.

It can be divided in two parts, 10292 and 9, that added together give a palindrome (10301).

The spelling of 102929 in words is "one hundred two thousand, nine hundred twenty-nine".