164105625 has 20 divisors (see below), whose sum is σ = 273424976. Its totient is φ = 87522000.

The previous prime is 164105597. The next prime is 164105633. The reversal of 164105625 is 526501461.

It is not a de Polignac number, because 164105625 - 2⁵ = 164105593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164105592 and 164105601.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41887 + ... + 45636.

Almost surely, 2^164105625 is an apocalyptic number.

164105625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164105625 is a deficient number, since it is larger than the sum of its proper divisors (109319351).

164105625 is an frugal number, since it uses more digits than its factorization.

164105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87546 (or 87531 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 164105625 is about 12810.3717744646. The cubic root of 164105625 is about 547.4878544459.

The spelling of 164105625 in words is "one hundred sixty-four million, one hundred five thousand, six hundred twenty-five".