165660105667 has 32 divisors (see below), whose sum is σ = 194447052800. Its totient is φ = 141072865920.

The previous prime is 165660105643. The next prime is 165660105733. The reversal of 165660105667 is 766501066561.

It is not a de Polignac number, because 165660105667 - 2¹¹ = 165660103619 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 165660105667.

It is not an unprimeable number, because it can be changed into a prime (165660105607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43673323 + ... + 43677115.

It is an arithmetic number, because the mean of its divisors is an integer number (6076470400).

Almost surely, 2^165660105667 is an apocalyptic number.

165660105667 is a deficient number, since it is larger than the sum of its proper divisors (28786947133).

165660105667 is an equidigital number, since it uses as much as digits as its factorization.

165660105667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 165660105667 in words is "one hundred sixty-five billion, six hundred sixty million, one hundred five thousand, six hundred sixty-seven".