2113100 has 72 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 716800.

The previous prime is 2113091. The next prime is 2113109. The reversal of 2113100 is 13112.

It is an interprime number because it is at equal distance from previous prime (2113091) and next prime (2113109).

It is a super-2 number, since 2×2113100² = 8930383220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18644 + ... + 18756.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

2^2113100 is an apocalyptic number.

2113100 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 2113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2113100 is an abundant number, since it is smaller than the sum of its proper divisors (3230308).

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

2113100 is a wasteful number, since it uses less digits than its factorization.

2113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2113100 is about 1453.6505769957. The cubic root of 2113100 is about 128.3236438778.

Adding to 2113100 its reverse (13112), we get a palindrome (2126212).

The spelling of 2113100 in words is "two million, one hundred thirteen thousand, one hundred".