102113 has 4 divisors (see below), whose sum is σ = 111408. Its totient is φ = 92820.

The previous prime is 102107. The next prime is 102121. The reversal of 102113 is 311201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102113 - 2¹⁰ = 101089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102113.

It is not an unprimeable number, because it can be changed into a prime (102103) 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, 4631 + ... + 4652.

It is an arithmetic number, because the mean of its divisors is an integer number (27852).

2¹⁰²¹¹³ is an apocalyptic number.

It is an amenable number.

102113 is a deficient number, since it is larger than the sum of its proper divisors (9295).

102113 is an equidigital number, since it uses as much as digits as its factorization.

102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 102113 is about 319.5512478461. The cubic root of 102113 is about 46.7405349403.

Adding to 102113 its reverse (311201), we get a palindrome (413314).

The spelling of 102113 in words is "one hundred two thousand, one hundred thirteen".