102133014 has 32 divisors (see below), whose sum is σ = 208902240. Its totient is φ = 33276672.

The previous prime is 102133013. The next prime is 102133069. The reversal of 102133014 is 410331201.

It is a junction number, because it is equal to n+sod(n) for n = 102132984 and 102133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133013) 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 15 ways as a sum of consecutive naturals, for example, 125842 + ... + 126650.

It is an arithmetic number, because the mean of its divisors is an integer number (6528195).

Almost surely, 2^102133014 is an apocalyptic number.

102133014 is an abundant number, since it is smaller than the sum of its proper divisors (106769226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102133014 is a wasteful number, since it uses less digits than its factorization.

102133014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102133014 is about 10106.0879671612. The cubic root of 102133014 is about 467.4358843316.

Adding to 102133014 its reverse (410331201), we get a palindrome (512464215).

The spelling of 102133014 in words is "one hundred two million, one hundred thirty-three thousand, fourteen".