101566561 has 8 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 100643808.

The previous prime is 101566541. The next prime is 101566567. The reversal of 101566561 is 165665101.

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 101566561 - 2⁵ = 101566529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101566567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67560 + ... + 69046.

It is an arithmetic number, because the mean of its divisors is an integer number (12811680).

Almost surely, 2^101566561 is an apocalyptic number.

It is an amenable number.

101566561 is a deficient number, since it is larger than the sum of its proper divisors (926879).

101566561 is a wasteful number, since it uses less digits than its factorization.

101566561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 101566561 is about 10078.0236653820. The cubic root of 101566561 is about 466.5701130743.

It can be divided in two parts, 1015 and 66561, that added together give a palindrome (67576).

The spelling of 101566561 in words is "one hundred one million, five hundred sixty-six thousand, five hundred sixty-one".