164556105 has 32 divisors (see below), whose sum is σ = 304300800. Its totient is φ = 74376192.

The previous prime is 164556097. The next prime is 164556109. The reversal of 164556105 is 501655461.

It is not a de Polignac number, because 164556105 - 2³ = 164556097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164556109) 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, 541 + ... + 18149.

It is an arithmetic number, because the mean of its divisors is an integer number (9509400).

Almost surely, 2^164556105 is an apocalyptic number.

164556105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164556105 is a deficient number, since it is larger than the sum of its proper divisors (139744695).

164556105 is a wasteful number, since it uses less digits than its factorization.

164556105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17713.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 164556105 is about 12827.9423525365. The cubic root of 164556105 is about 547.9883593261.

The spelling of 164556105 in words is "one hundred sixty-four million, five hundred fifty-six thousand, one hundred five".