102004133 has 24 divisors (see below), whose sum is σ = 130846464. Its totient is φ = 78624000.

The previous prime is 102004121. The next prime is 102004159. The reversal of 102004133 is 331400201.

It is not a de Polignac number, because 102004133 - 2⁴ = 102004117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102004163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51308 + ... + 53258.

It is an arithmetic number, because the mean of its divisors is an integer number (5451936).

Almost surely, 2^102004133 is an apocalyptic number.

It is an amenable number.

102004133 is a deficient number, since it is larger than the sum of its proper divisors (28842331).

102004133 is a wasteful number, since it uses less digits than its factorization.

102004133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102004133 is about 10099.7095502792. The cubic root of 102004133 is about 467.2391834479.

Adding to 102004133 its reverse (331400201), we get a palindrome (433404334).

The spelling of 102004133 in words is "one hundred two million, four thousand, one hundred thirty-three".