102006657 has 6 divisors (see below), whose sum is σ = 147342962. Its totient is φ = 68004432.

The previous prime is 102006637. The next prime is 102006661. The reversal of 102006657 is 756600201.

102006657 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 6 + 657 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 36978561 = 8064^2 + 6081^2 .

It is not a de Polignac number, because 102006657 - 2¹² = 102002561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102006657.

It is not an unprimeable number, because it can be changed into a prime (102006607) 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 5 ways as a sum of consecutive naturals, for example, 5667028 + ... + 5667045.

Almost surely, 2^102006657 is an apocalyptic number.

It is an amenable number.

102006657 is a deficient number, since it is larger than the sum of its proper divisors (45336305).

102006657 is a wasteful number, since it uses less digits than its factorization.

102006657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334079 (or 11334076 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 102006657 is about 10099.8345035946. The cubic root of 102006657 is about 467.2430372197.

Adding to 102006657 its reverse (756600201), we get a palindrome (858606858).

The spelling of 102006657 in words is "one hundred two million, six thousand, six hundred fifty-seven".