2096100 has 108 divisors (see below), whose sum is σ = 7007364. Its totient is φ = 522240.

The previous prime is 2096089. The next prime is 2096111. The reversal of 2096100 is 16902.

It is an interprime number because it is at equal distance from previous prime (2096089) and next prime (2096111).

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 2090916 = 72^2 + 1446^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15232 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (64883).

2^2096100 is an apocalyptic number.

2096100 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 2096100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503682).

2096100 is an abundant number, since it is smaller than the sum of its proper divisors (4911264).

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

2096100 is a wasteful number, since it uses less digits than its factorization.

2096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2096100 is about 1447.7914214416. The cubic root of 2096100 is about 127.9785934254.

The spelling of 2096100 in words is "two million, ninety-six thousand, one hundred".