102629 has 4 divisors (see below), whose sum is σ = 108684. Its totient is φ = 96576.

The previous prime is 102611. The next prime is 102643. The reversal of 102629 is 926201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 926201 = 397 ⋅2333.

It can be written as a sum of positive squares in 2 ways, for example, as 49729 + 52900 = 223^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 102629 - 2¹² = 98533 is a prime.

It is a Duffinian number.

102629 is a modest number, since divided by 629 gives 102 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 102629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102679) 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, 3002 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (27171).

2¹⁰²⁶²⁹ is an apocalyptic number.

It is an amenable number.

102629 is a deficient number, since it is larger than the sum of its proper divisors (6055).

102629 is an equidigital number, since it uses as much as digits as its factorization.

102629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 102629 is about 320.3576126768. The cubic root of 102629 is about 46.8191328496.

The spelling of 102629 in words is "one hundred two thousand, six hundred twenty-nine".