66105405 has 48 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 34038144.

The previous prime is 66105397. The next prime is 66105419. The reversal of 66105405 is 50450166.

It is a happy number.

66105405 is a `hidden beast` number, since 6 + 610 + 5 + 40 + 5 = 666.

It is not a de Polignac number, because 66105405 - 2³ = 66105397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245611 + ... + 245879.

It is an arithmetic number, because the mean of its divisors is an integer number (2471040).

Almost surely, 2^66105405 is an apocalyptic number.

It is an amenable number.

66105405 is a deficient number, since it is larger than the sum of its proper divisors (52504515).

66105405 is a wasteful number, since it uses less digits than its factorization.

66105405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 66105405 is about 8130.5230459055. The cubic root of 66105405 is about 404.3390224372.

The spelling of 66105405 in words is "sixty-six million, one hundred five thousand, four hundred five".