2116708100 has 108 divisors (see below), whose sum is σ = 5003586000. Its totient is φ = 776880000.

The previous prime is 2116708079. The next prime is 2116708103. The reversal of 2116708100 is 18076112.

It is a super-2 number, since 2×2116708100² = 8960906361211220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2116708100.

It is not an unprimeable number, because it can be changed into a prime (2116708103) 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, 4241651 + ... + 4242149.

It is an arithmetic number, because the mean of its divisors is an integer number (46329500).

Almost surely, 2^2116708100 is an apocalyptic number.

2116708100 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 2116708100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501793000).

2116708100 is an abundant number, since it is smaller than the sum of its proper divisors (2886877900).

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

2116708100 is a wasteful number, since it uses less digits than its factorization.

2116708100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 2116708100 is about 46007.6960953274. The cubic root of 2116708100 is about 1283.9663951829.

The spelling of 2116708100 in words is "two billion, one hundred sixteen million, seven hundred eight thousand, one hundred".