100920109 has 16 divisors (see below), whose sum is σ = 110049840. Its totient is φ = 92185600.

The previous prime is 100920107. The next prime is 100920133. The reversal of 100920109 is 901029001.

It can be written as a sum of positive squares in 8 ways, for example, as 5076009 + 95844100 = 2253^2 + 9790^2 .

It is a cyclic number.

It is not a de Polignac number, because 100920109 - 2¹ = 100920107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100920109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100920103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90447 + ... + 91555.

It is an arithmetic number, because the mean of its divisors is an integer number (6878115).

Almost surely, 2^100920109 is an apocalyptic number.

It is an amenable number.

100920109 is a deficient number, since it is larger than the sum of its proper divisors (9129731).

100920109 is a wasteful number, since it uses less digits than its factorization.

100920109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 100920109 is about 10045.9001089997. The cubic root of 100920109 is about 465.5781285732.

The spelling of 100920109 in words is "one hundred million, nine hundred twenty thousand, one hundred nine".