102114333 has 12 divisors (see below), whose sum is σ = 148960188. Its totient is φ = 67401600.

The previous prime is 102114329. The next prime is 102114367. The reversal of 102114333 is 333411201.

It can be written as a sum of positive squares in 2 ways, for example, as 93663684 + 8450649 = 9678^2 + 2907^2 .

It is not a de Polignac number, because 102114333 - 2² = 102114329 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102114323) 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 11 ways as a sum of consecutive naturals, for example, 55260 + ... + 57077.

It is an arithmetic number, because the mean of its divisors is an integer number (12413349).

Almost surely, 2^102114333 is an apocalyptic number.

It is an amenable number.

102114333 is a deficient number, since it is larger than the sum of its proper divisors (46845855).

102114333 is a wasteful number, since it uses less digits than its factorization.

102114333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112444 (or 112441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102114333 is about 10105.1636800202. The cubic root of 102114333 is about 467.4073832562.

Adding to 102114333 its reverse (333411201), we get a palindrome (435525534).

The spelling of 102114333 in words is "one hundred two million, one hundred fourteen thousand, three hundred thirty-three".