101092561 has 2 divisors, whose sum is σ = 101092562. Its totient is φ = 101092560.

The previous prime is 101092531. The next prime is 101092583. The reversal of 101092561 is 165290101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60528400 + 40564161 = 7780^2 + 6369^2 .

It is a cyclic number.

It is not a de Polignac number, because 101092561 - 2¹¹ = 101090513 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (101092531) 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 as a sum of consecutive naturals, namely, 50546280 + 50546281.

It is an arithmetic number, because the mean of its divisors is an integer number (50546281).

Almost surely, 2^101092561 is an apocalyptic number.

101092561 is the 4497-th centered decagonal number.

It is an amenable number.

101092561 is a deficient number, since it is larger than the sum of its proper divisors (1).

101092561 is an equidigital number, since it uses as much as digits as its factorization.

101092561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 101092561 is about 10054.4796483955. The cubic root of 101092561 is about 465.8431705308.

The spelling of 101092561 in words is "one hundred one million, ninety-two thousand, five hundred sixty-one".