100387729 has 8 divisors (see below), whose sum is σ = 108256680. Its totient is φ = 92539776.

The previous prime is 100387717. The next prime is 100387759. The reversal of 100387729 is 927783001.

It can be written as a sum of positive squares in 4 ways, for example, as 4739329 + 95648400 = 2177^2 + 9780^2 .

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 100387729 - 2¹⁷ = 100256657 is a prime.

It is a super-2 number, since 2×100387729² = 20155392267554882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100387759) 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 7 ways as a sum of consecutive naturals, for example, 5517 + ... + 15205.

It is an arithmetic number, because the mean of its divisors is an integer number (13532085).

Almost surely, 2^100387729 is an apocalyptic number.

It is an amenable number.

100387729 is a deficient number, since it is larger than the sum of its proper divisors (7868951).

100387729 is an equidigital number, since it uses as much as digits as its factorization.

100387729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 100387729 is about 10019.3676946203. The cubic root of 100387729 is about 464.7580025731.

The spelling of 100387729 in words is "one hundred million, three hundred eighty-seven thousand, seven hundred twenty-nine".