164000100 has 72 divisors (see below), whose sum is σ = 517654368. Its totient is φ = 39756800.

The previous prime is 164000099. The next prime is 164000101. The reversal of 164000100 is 1000461.

It is an interprime number because it is at equal distance from previous prime (164000099) and next prime (164000101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (164000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21549 + ... + 28148.

It is an arithmetic number, because the mean of its divisors is an integer number (7189644).

Almost surely, 2^164000100 is an apocalyptic number.

164000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164000100 is an abundant number, since it is smaller than the sum of its proper divisors (353654268).

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

164000100 is a wasteful number, since it uses less digits than its factorization.

164000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49725 (or 49718 counting only the distinct ones).

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

The square root of 164000100 is about 12806.2523792091. The cubic root of 164000100 is about 547.3704787340.

Adding to 164000100 its reverse (1000461), we get a palindrome (165000561).

The spelling of 164000100 in words is "one hundred sixty-four million, one hundred", and thus it is an aban number.