2106435100 has 144 divisors (see below), whose sum is σ = 5780630016. Its totient is φ = 647136000.

The previous prime is 2106435091. The next prime is 2106435113. The reversal of 2106435100 is 15346012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544774 + ... + 548626.

It is an arithmetic number, because the mean of its divisors is an integer number (40143264).

Almost surely, 2^2106435100 is an apocalyptic number.

2106435100 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 2106435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890315008).

2106435100 is an abundant number, since it is smaller than the sum of its proper divisors (3674194916).

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

2106435100 is a wasteful number, since it uses less digits than its factorization.

2106435100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2106435100 is about 45895.9159403100. The cubic root of 2106435100 is about 1281.8858716405.

The spelling of 2106435100 in words is "two billion, one hundred six million, four hundred thirty-five thousand, one hundred".