102166681 has 8 divisors (see below), whose sum is σ = 106662600. Its totient is φ = 97735680.

The previous prime is 102166663. The next prime is 102166693. The reversal of 102166681 is 186661201.

It can be written as a sum of positive squares in 4 ways, for example, as 18352656 + 83814025 = 4284^2 + 9155^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102166681 - 2¹¹ = 102164633 is a prime.

It is a super-2 number, since 2×102166681² = 20876061413111522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102166601) 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 7 ways as a sum of consecutive naturals, for example, 13000 + ... + 19321.

It is an arithmetic number, because the mean of its divisors is an integer number (13332825).

Almost surely, 2^102166681 is an apocalyptic number.

It is an amenable number.

102166681 is a deficient number, since it is larger than the sum of its proper divisors (4495919).

102166681 is a wasteful number, since it uses less digits than its factorization.

102166681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32459.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 102166681 is about 10107.7535090642. The cubic root of 102166681 is about 467.4872403507.

The spelling of 102166681 in words is "one hundred two million, one hundred sixty-six thousand, six hundred eighty-one".