2100412600 has 144 divisors (see below), whose sum is σ = 5758459560. Its totient is φ = 702432000.

The previous prime is 2100412597. The next prime is 2100412603. The reversal of 2100412600 is 62140012.

It is an interprime number because it is at equal distance from previous prime (2100412597) and next prime (2100412603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100412603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7750465 + ... + 7750735.

Almost surely, 2^2100412600 is an apocalyptic number.

2100412600 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 2100412600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879229780).

2100412600 is an abundant number, since it is smaller than the sum of its proper divisors (3658046960).

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

2100412600 is a wasteful number, since it uses less digits than its factorization.

2100412600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2100412600 is about 45830.2585635298. The cubic root of 2100412600 is about 1280.6630272674.

Adding to 2100412600 its reverse (62140012), we get a palindrome (2162552612).

It can be divided in two parts, 2100412 and 600, that added together give a palindrome (2101012).

The spelling of 2100412600 in words is "two billion, one hundred million, four hundred twelve thousand, six hundred".