164085100 has 18 divisors (see below), whose sum is σ = 356064884. Its totient is φ = 65634000.

The previous prime is 164085079. The next prime is 164085101. The reversal of 164085100 is 1580461.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (164085101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 820326 + ... + 820525.

Almost surely, 2^164085100 is an apocalyptic number.

164085100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164085100 is an abundant number, since it is smaller than the sum of its proper divisors (191979784).

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

164085100 is a wasteful number, since it uses less digits than its factorization.

164085100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640865 (or 1640858 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 164085100 is about 12809.5706407358. The cubic root of 164085100 is about 547.4650283814.

The spelling of 164085100 in words is "one hundred sixty-four million, eighty-five thousand, one hundred".