105971561 has 2 divisors, whose sum is σ = 105971562. Its totient is φ = 105971560.

The previous prime is 105971549. The next prime is 105971581. The reversal of 105971561 is 165179501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60543961 + 45427600 = 7781^2 + 6740^2 .

It is a cyclic number.

It is not a de Polignac number, because 105971561 - 2⁶ = 105971497 is a prime.

It is a super-2 number, since 2×105971561² = 22459943481553442, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105971501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52985780 + 52985781.

It is an arithmetic number, because the mean of its divisors is an integer number (52985781).

Almost surely, 2^105971561 is an apocalyptic number.

It is an amenable number.

105971561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105971561 is an equidigital number, since it uses as much as digits as its factorization.

105971561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 35.

The square root of 105971561 is about 10294.2489284066. The cubic root of 105971561 is about 473.2200210919.

The spelling of 105971561 in words is "one hundred five million, nine hundred seventy-one thousand, five hundred sixty-one".