10000164 has 12 divisors (see below), whose sum is σ = 23333744. Its totient is φ = 3333384.

The previous prime is 10000141. The next prime is 10000169. The reversal of 10000164 is 46100001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 833347 = 10000164 / (1 + 0 + 0 + 0 + 0 + 1 + 6 + 4).

10000164 is a modest number, since divided by 164 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10000169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416662 + ... + 416685.

Almost surely, 2^10000164 is an apocalyptic number.

It is an amenable number.

10000164 is an abundant number, since it is smaller than the sum of its proper divisors (13333580).

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

10000164 is a wasteful number, since it uses less digits than its factorization.

10000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833354 (or 833352 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10000164 is about 3162.3035907389. The cubic root of 10000164 is about 215.4446467544. Note that the first 3 decimals are identical.

Adding to 10000164 its reverse (46100001), we get a palindrome (56100165).

The spelling of 10000164 in words is "ten million, one hundred sixty-four", and thus it is an aban number.