2100113406 has 56 divisors (see below), whose sum is σ = 4783142880. Its totient is φ = 691138656.

The previous prime is 2100113399. The next prime is 2100113413. The reversal of 2100113406 is 6043110012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100113399) and next prime (2100113413).

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 27 ways as a sum of consecutive naturals, for example, 106066 + ... + 124298.

Almost surely, 2^2100113406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100113406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391571440).

2100113406 is an abundant number, since it is smaller than the sum of its proper divisors (2683029474).

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

2100113406 is an equidigital number, since it uses as much as digits as its factorization.

2100113406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18332 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2100113406 is about 45826.9942937566. The cubic root of 2100113406 is about 1280.6022162171.

Adding to 2100113406 its reverse (6043110012), we get a palindrome (8143223418).

The spelling of 2100113406 in words is "two billion, one hundred million, one hundred thirteen thousand, four hundred six".