101725685 has 8 divisors (see below), whose sum is σ = 123280056. Its totient is φ = 80574400.

The previous prime is 101725661. The next prime is 101725697. The reversal of 101725685 is 586527101.

It can be written as a sum of positive squares in 4 ways, for example, as 21031396 + 80694289 = 4586^2 + 8983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101725685 - 2¹⁴ = 101709301 is a prime.

It is a super-2 number, since 2×101725685² = 20696229977438450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100214 + ... + 101223.

It is an arithmetic number, because the mean of its divisors is an integer number (15410007).

Almost surely, 2^101725685 is an apocalyptic number.

It is an amenable number.

101725685 is a deficient number, since it is larger than the sum of its proper divisors (21554371).

101725685 is a wasteful number, since it uses less digits than its factorization.

101725685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201543.

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 101725685 is about 10085.9151791000. The cubic root of 101725685 is about 466.8136438972.

The spelling of 101725685 in words is "one hundred one million, seven hundred twenty-five thousand, six hundred eighty-five".