164724105 has 32 divisors (see below), whose sum is σ = 324382464. Its totient is φ = 69509376.

The previous prime is 164724083. The next prime is 164724121. The reversal of 164724105 is 501427461.

It is not a de Polignac number, because 164724105 - 2⁵ = 164724073 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58974 + ... + 61703.

It is an arithmetic number, because the mean of its divisors is an integer number (10136952).

Almost surely, 2^164724105 is an apocalyptic number.

164724105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164724105 is a deficient number, since it is larger than the sum of its proper divisors (159658359).

164724105 is a wasteful number, since it uses less digits than its factorization.

164724105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120705.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 164724105 is about 12834.4888873691. The cubic root of 164724105 is about 548.1747815245.

It can be divided in two parts, 1647 and 24105, that added together give a palindrome (25752).

The spelling of 164724105 in words is "one hundred sixty-four million, seven hundred twenty-four thousand, one hundred five".