8105100829 has 12 divisors (see below), whose sum is σ = 9982994364. Its totient is φ = 6538568064.

The previous prime is 8105100821. The next prime is 8105100859. The reversal of 8105100829 is 9280015018.

It can be written as a sum of positive squares in 2 ways, for example, as 6273432025 + 1831668804 = 79205^2 + 42798^2 .

It is not a de Polignac number, because 8105100829 - 2³ = 8105100821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8105100794 and 8105100803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8105100821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4864174 + ... + 4865839.

It is an arithmetic number, because the mean of its divisors is an integer number (831916197).

Almost surely, 2^8105100829 is an apocalyptic number.

It is an amenable number.

8105100829 is a deficient number, since it is larger than the sum of its proper divisors (1877893535).

8105100829 is a wasteful number, since it uses less digits than its factorization.

8105100829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9730044 (or 9730037 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 8105100829 is about 90028.3334789665. Note that the first 3 decimals coincide. The cubic root of 8105100829 is about 2008.7203251208.

The spelling of 8105100829 in words is "eight billion, one hundred five million, one hundred thousand, eight hundred twenty-nine".