100016905 has 8 divisors (see below), whose sum is σ = 120141000. Its totient is φ = 79933056.

The previous prime is 100016887. The next prime is 100016921. The reversal of 100016905 is 509610001.

It can be written as a sum of positive squares in 4 ways, for example, as 62916624 + 37100281 = 7932^2 + 6091^2 .

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 100016905 - 2¹⁷ = 99885833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4290 + ... + 14779.

It is an arithmetic number, because the mean of its divisors is an integer number (15017625).

Almost surely, 2^100016905 is an apocalyptic number.

It is an amenable number.

100016905 is a deficient number, since it is larger than the sum of its proper divisors (20124095).

100016905 is a wasteful number, since it uses less digits than its factorization.

100016905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20123.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 100016905 is about 10000.8452142806. The cubic root of 100016905 is about 464.1850372406.

Adding to 100016905 its reverse (509610001), we get a palindrome (609626906).

The spelling of 100016905 in words is "one hundred million, sixteen thousand, nine hundred five".