2075816106 has 256 divisors, whose sum is σ = 5975424000. Its totient is φ = 530385408.

The previous prime is 2075816089. The next prime is 2075816107. The reversal of 2075816106 is 6016185702.

It is not an unprimeable number, because it can be changed into a prime (2075816107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8908966 + ... + 8909198.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^2075816106 is an apocalyptic number.

2075816106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075816106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712000).

2075816106 is an abundant number, since it is smaller than the sum of its proper divisors (3899607894).

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

2075816106 is a wasteful number, since it uses less digits than its factorization.

2075816106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2075816106 is about 45561.1249422136. The cubic root of 2075816106 is about 1275.6443967524.

It can be divided in two parts, 20758 and 16106, that added together give a square (36864 = 192²).

The spelling of 2075816106 in words is "two billion, seventy-five million, eight hundred sixteen thousand, one hundred six".