102685921 has 12 divisors (see below), whose sum is σ = 111575100. Its totient is φ = 94461120.

The previous prime is 102685909. The next prime is 102685927. The reversal of 102685921 is 129586201.

It can be written as a sum of positive squares in 6 ways, for example, as 37075921 + 65610000 = 6089^2 + 8100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102685921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102685927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58111 + ... + 59851.

It is an arithmetic number, because the mean of its divisors is an integer number (9297925).

Almost surely, 2^102685921 is an apocalyptic number.

It is an amenable number.

102685921 is a deficient number, since it is larger than the sum of its proper divisors (8889179).

102685921 is a wasteful number, since it uses less digits than its factorization.

102685921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 102685921 is about 10133.4061894311. The cubic root of 102685921 is about 468.2778699645.

The spelling of 102685921 in words is "one hundred two million, six hundred eighty-five thousand, nine hundred twenty-one".