165105414 has 24 divisors (see below), whose sum is σ = 362631672. Its totient is φ = 54280800.

The previous prime is 165105403. The next prime is 165105427. The reversal of 165105414 is 414501561.

165105414 is a `hidden beast` number, since 1 + 651 + 0 + 5 + 4 + 1 + 4 = 666.

It is a super-2 number, since 2×165105414² = 54519595464222792, which contains 22 as substring.

It is a congruent number.

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, 61512 + ... + 64139.

It is an arithmetic number, because the mean of its divisors is an integer number (15109653).

Almost surely, 2^165105414 is an apocalyptic number.

165105414 is an abundant number, since it is smaller than the sum of its proper divisors (197526258).

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

165105414 is a wasteful number, since it uses less digits than its factorization.

165105414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125732 (or 125729 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 165105414 is about 12849.3351578982. The cubic root of 165105414 is about 548.5974334887.

Adding to 165105414 its reverse (414501561), we get a palindrome (579606975).

The spelling of 165105414 in words is "one hundred sixty-five million, one hundred five thousand, four hundred fourteen".