100820105 has 8 divisors (see below), whose sum is σ = 121797000. Its totient is φ = 80114176.

The previous prime is 100820053. The next prime is 100820143. The reversal of 100820105 is 501028001.

It can be written as a sum of positive squares in 4 ways, for example, as 499849 + 100320256 = 707^2 + 10016^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100820105 - 2²² = 96625801 is a prime.

It is a super-2 number, since 2×100820105² = 20329387144422050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66920 + ... + 68409.

It is an arithmetic number, because the mean of its divisors is an integer number (15224625).

Almost surely, 2^100820105 is an apocalyptic number.

It is an amenable number.

100820105 is a deficient number, since it is larger than the sum of its proper divisors (20976895).

100820105 is a wasteful number, since it uses less digits than its factorization.

100820105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135483.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 100820105 is about 10040.9215214541. The cubic root of 100820105 is about 465.4242938119.

Adding to 100820105 its reverse (501028001), we get a palindrome (601848106).

The spelling of 100820105 in words is "one hundred million, eight hundred twenty thousand, one hundred five".