100109729 has 2 divisors, whose sum is σ = 100109730. Its totient is φ = 100109728.

The previous prime is 100109707. The next prime is 100109743. The reversal of 100109729 is 927901001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92602129 + 7507600 = 9623^2 + 2740^2 .

It is a cyclic number.

It is not a de Polignac number, because 100109729 - 2¹⁶ = 100044193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100109749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50054864 + 50054865.

It is an arithmetic number, because the mean of its divisors is an integer number (50054865).

Almost surely, 2^100109729 is an apocalyptic number.

It is an amenable number.

100109729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100109729 is an equidigital number, since it uses as much as digits as its factorization.

100109729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 100109729 is about 10005.4849457685. The cubic root of 100109729 is about 464.3285936030.

The spelling of 100109729 in words is "one hundred million, one hundred nine thousand, seven hundred twenty-nine".