100829105 has 24 divisors (see below), whose sum is σ = 137553192. Its totient is φ = 70523136.

The previous prime is 100829101. The next prime is 100829111. The reversal of 100829105 is 501928001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2085136 + 98743969 = 1444^2 + 9937^2 .

It is not a de Polignac number, because 100829105 - 2² = 100829101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100829101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21317 + ... + 25613.

It is an arithmetic number, because the mean of its divisors is an integer number (5731383).

Almost surely, 2^100829105 is an apocalyptic number.

It is an amenable number.

100829105 is a deficient number, since it is larger than the sum of its proper divisors (36724087).

100829105 is a wasteful number, since it uses less digits than its factorization.

100829105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 100829105 is about 10041.3696774892. The cubic root of 100829105 is about 465.4381425510.

The spelling of 100829105 in words is "one hundred million, eight hundred twenty-nine thousand, one hundred five".