101166561 has 12 divisors (see below), whose sum is σ = 147062292. Its totient is φ = 67013856.

The previous prime is 101166521. The next prime is 101166577. The reversal of 101166561 is 165661101.

101166561 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 656 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 33005025 = 8256^2 + 5745^2 .

It is not a de Polignac number, because 101166561 - 2⁹ = 101166049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101166521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34386 + ... + 37211.

It is an arithmetic number, because the mean of its divisors is an integer number (12255191).

Almost surely, 2^101166561 is an apocalyptic number.

It is an amenable number.

101166561 is a deficient number, since it is larger than the sum of its proper divisors (45895731).

101166561 is a wasteful number, since it uses less digits than its factorization.

101166561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71760 (or 71757 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101166561 is about 10058.1589269607. The cubic root of 101166561 is about 465.9568089179.

The spelling of 101166561 in words is "one hundred one million, one hundred sixty-six thousand, five hundred sixty-one".