82105668 has 36 divisors (see below), whose sum is σ = 207964848. Its totient is φ = 27313200.

The previous prime is 82105651. The next prime is 82105679. The reversal of 82105668 is 86650128.

It is a happy number.

82105668 is a `hidden beast` number, since 82 + 10 + 566 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18243 + ... + 22293.

Almost surely, 2^82105668 is an apocalyptic number.

It is an amenable number.

82105668 is an abundant number, since it is smaller than the sum of its proper divisors (125859180).

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

82105668 is a wasteful number, since it uses less digits than its factorization.

82105668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82105668 is about 9061.2177989495. The cubic root of 82105668 is about 434.6346833811.

The spelling of 82105668 in words is "eighty-two million, one hundred five thousand, six hundred sixty-eight".