100129985 has 16 divisors (see below), whose sum is σ = 122872464. Its totient is φ = 78304512.

The previous prime is 100129933. The next prime is 100129987. The reversal of 100129985 is 589921001.

It can be written as a sum of positive squares in 8 ways, for example, as 9042049 + 91087936 = 3007^2 + 9544^2 .

It is a cyclic number.

It is not a de Polignac number, because 100129985 - 2⁶ = 100129921 is a prime.

It is a super-2 number, since 2×100129985² = 20052027792200450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100129987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98339 + ... + 99351.

It is an arithmetic number, because the mean of its divisors is an integer number (7679529).

Almost surely, 2^100129985 is an apocalyptic number.

It is an amenable number.

100129985 is a deficient number, since it is larger than the sum of its proper divisors (22742479).

100129985 is a wasteful number, since it uses less digits than its factorization.

100129985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 100129985 is about 10006.4971393590. The cubic root of 100129985 is about 464.3599085937.

The spelling of 100129985 in words is "one hundred million, one hundred twenty-nine thousand, nine hundred eighty-five".