101566085 has 8 divisors (see below), whose sum is σ = 122022936. Its totient is φ = 81157120.

The previous prime is 101566067. The next prime is 101566097. The reversal of 101566085 is 580665101.

It is a happy number.

It is a Cunningham number, because it is equal to 10078²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 17825284 + 83740801 = 4222^2 + 9151^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-101566085 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7124 + ... + 15933.

It is an arithmetic number, because the mean of its divisors is an integer number (15252867).

Almost surely, 2^101566085 is an apocalyptic number.

It is an amenable number.

101566085 is a deficient number, since it is larger than the sum of its proper divisors (20456851).

101566085 is an equidigital number, since it uses as much as digits as its factorization.

101566085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23943.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 101566085 is about 10078.0000496130. Note that the first 4 decimals coincide. The cubic root of 101566085 is about 466.5693842001.

The spelling of 101566085 in words is "one hundred one million, five hundred sixty-six thousand, eighty-five".