100713729 has 8 divisors (see below), whose sum is σ = 142184160. Its totient is φ = 63192896.

The previous prime is 100713707. The next prime is 100713731. The reversal of 100713729 is 927317001.

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 100713729 - 2²⁵ = 67159297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100713696 and 100713705.

It is not an unprimeable number, because it can be changed into a prime (100713749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 987339 + ... + 987440.

It is an arithmetic number, because the mean of its divisors is an integer number (17773020).

Almost surely, 2^100713729 is an apocalyptic number.

It is an amenable number.

100713729 is a deficient number, since it is larger than the sum of its proper divisors (41470431).

100713729 is a wasteful number, since it uses less digits than its factorization.

100713729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974799.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 100713729 is about 10035.6230000932. The cubic root of 100713729 is about 465.2605453953.

The spelling of 100713729 in words is "one hundred million, seven hundred thirteen thousand, seven hundred twenty-nine".