101680727 has 8 divisors (see below), whose sum is σ = 103130496. Its totient is φ = 100236472.

The previous prime is 101680721. The next prime is 101680739. The reversal of 101680727 is 727086101.

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 101680727 - 2⁸ = 101680471 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101680693 and 101680702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101680721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47678 + ... + 49764.

It is an arithmetic number, because the mean of its divisors is an integer number (12891312).

Almost surely, 2^101680727 is an apocalyptic number.

101680727 is a deficient number, since it is larger than the sum of its proper divisors (1449769).

101680727 is an equidigital number, since it uses as much as digits as its factorization.

101680727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757.

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 101680727 is about 10083.6861811542. The cubic root of 101680727 is about 466.7448638236.

The spelling of 101680727 in words is "one hundred one million, six hundred eighty thousand, seven hundred twenty-seven".