2106113100 has 432 divisors, whose sum is σ = 7780002048. Its totient is φ = 435939840.

The previous prime is 2106113089. The next prime is 2106113129. The reversal of 2106113100 is 13116012.

It is a super-2 number, since 2×2106113100² = 8871424779983220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2106113100.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19683247 + ... + 19683353.

It is an arithmetic number, because the mean of its divisors is an integer number (18009264).

Almost surely, 2^2106113100 is an apocalyptic number.

2106113100 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 2106113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890001024).

2106113100 is an abundant number, since it is smaller than the sum of its proper divisors (5673888948).

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

2106113100 is a wasteful number, since it uses less digits than its factorization.

2106113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2106113100 is about 45892.4078688404. The cubic root of 2106113100 is about 1281.8205498582.

Adding to 2106113100 its reverse (13116012), we get a palindrome (2119229112).

The spelling of 2106113100 in words is "two billion, one hundred six million, one hundred thirteen thousand, one hundred".