101168561 has 16 divisors (see below), whose sum is σ = 111815760. Its totient is φ = 90961920.

The previous prime is 101168537. The next prime is 101168567. The reversal of 101168561 is 165861101.

It can be written as a sum of positive squares in 8 ways, for example, as 77704225 + 23464336 = 8815^2 + 4844^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101168561 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (101168567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89045 + ... + 90173.

It is an arithmetic number, because the mean of its divisors is an integer number (6988485).

Almost surely, 2^101168561 is an apocalyptic number.

It is an amenable number.

101168561 is a deficient number, since it is larger than the sum of its proper divisors (10647199).

101168561 is a wasteful number, since it uses less digits than its factorization.

101168561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316.

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 101168561 is about 10058.2583482430. The cubic root of 101168561 is about 465.9598794565.

The spelling of 101168561 in words is "one hundred one million, one hundred sixty-eight thousand, five hundred sixty-one".