102133 has 4 divisors (see below), whose sum is σ = 103180. Its totient is φ = 101088.

The previous prime is 102121. The next prime is 102139. The reversal of 102133 is 331201.

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 33489 + 68644 = 183^2 + 262^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133 - 2⁵ = 102101 is a prime.

It is a super-2 number, since 2×102133² = 20862299378, which contains 22 as substring.

It is a Duffinian number.

102133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (25795).

2¹⁰²¹³³ is an apocalyptic number.

It is an amenable number.

102133 is a deficient number, since it is larger than the sum of its proper divisors (1047).

102133 is an equidigital number, since it uses as much as digits as its factorization.

102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102133 is about 319.5825401989. The cubic root of 102133 is about 46.7435862973.

Adding to 102133 its reverse (331201), we get a palindrome (433334).

The spelling of 102133 in words is "one hundred two thousand, one hundred thirty-three".