2168100 has 144 divisors (see below), whose sum is σ = 7707840. Its totient is φ = 518400.

The previous prime is 2168093. The next prime is 2168107. The reversal of 2168100 is 18612.

It is an interprime number because it is at equal distance from previous prime (2168093) and next prime (2168107).

It is a super-2 number, since 2×2168100² = 9401315220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2168107) 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 47 ways as a sum of consecutive naturals, for example, 29664 + ... + 29736.

2^2168100 is an apocalyptic number.

2168100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853920).

2168100 is an abundant number, since it is smaller than the sum of its proper divisors (5539740).

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

2168100 is a wasteful number, since it uses less digits than its factorization.

2168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2168100 is about 1472.4469430170. The cubic root of 2168100 is about 129.4274624452.

It can be divided in two parts, 21 and 68100, that added together give a square (68121 = 261²).

The spelling of 2168100 in words is "two million, one hundred sixty-eight thousand, one hundred".