2100164 has 24 divisors (see below), whose sum is σ = 4082400. Its totient is φ = 937280.

The previous prime is 2100121. The next prime is 2100167. The reversal of 2100164 is 4610012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2192 + ... + 3000.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

2^2100164 is an apocalyptic number.

It is an amenable number.

2100164 is a deficient number, since it is larger than the sum of its proper divisors (1982236).

2100164 is a wasteful number, since it uses less digits than its factorization.

2100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2100164 is about 1449.1942588901. The cubic root of 2100164 is about 128.0612499831.

Adding to 2100164 its reverse (4610012), we get a palindrome (6710176).

The spelling of 2100164 in words is "two million, one hundred thousand, one hundred sixty-four".