102682657 has 32 divisors (see below), whose sum is σ = 131549184. Its totient is φ = 78495120.

The previous prime is 102682637. The next prime is 102682661. The reversal of 102682657 is 756286201.

It is a happy number.

It is not a de Polignac number, because 102682657 - 2⁷ = 102682529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102682637) 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 31 ways as a sum of consecutive naturals, for example, 959598 + ... + 959704.

It is an arithmetic number, because the mean of its divisors is an integer number (4110912).

Almost surely, 2^102682657 is an apocalyptic number.

It is an amenable number.

102682657 is a deficient number, since it is larger than the sum of its proper divisors (28866527).

102682657 is a wasteful number, since it uses less digits than its factorization.

102682657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 102682657 is about 10133.2451366776. The cubic root of 102682657 is about 468.2729083133.

The spelling of 102682657 in words is "one hundred two million, six hundred eighty-two thousand, six hundred fifty-seven".