4168100 has 18 divisors (see below), whose sum is σ = 9044994. Its totient is φ = 1667200.

The previous prime is 4168097. The next prime is 4168117. The reversal of 4168100 is 18614.

It can be written as a sum of positive squares in 3 ways, for example, as 760384 + 3407716 = 872^2 + 1846^2 .

It is a super-2 number, since 2×4168100² = 34746115220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20741 + ... + 20940.

Almost surely, 2^4168100 is an apocalyptic number.

It is an amenable number.

4168100 is an abundant number, since it is smaller than the sum of its proper divisors (4876894).

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

4168100 is a wasteful number, since it uses less digits than its factorization.

4168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41695 (or 41688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 4168100 is about 2041.5925156603. The cubic root of 4168100 is about 160.9333468938.

It can be divided in two parts, 4 and 168100, that multiplied together give a square (672400 = 820²).

The spelling of 4168100 in words is "four million, one hundred sixty-eight thousand, one hundred".