105984961 has 2 divisors, whose sum is σ = 105984962. Its totient is φ = 105984960.

The previous prime is 105984947. The next prime is 105984973. The reversal of 105984961 is 169489501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60840000 + 45144961 = 7800^2 + 6719^2 .

It is a cyclic number.

It is not a de Polignac number, because 105984961 - 2⁷ = 105984833 is a prime.

It is a super-2 number, since 2×105984961² = 22465623916343042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105984911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52992480 + 52992481.

It is an arithmetic number, because the mean of its divisors is an integer number (52992481).

Almost surely, 2^105984961 is an apocalyptic number.

It is an amenable number.

105984961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105984961 is an equidigital number, since it uses as much as digits as its factorization.

105984961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 105984961 is about 10294.8997566756. The cubic root of 105984961 is about 473.2399663204.

The spelling of 105984961 in words is "one hundred five million, nine hundred eighty-four thousand, nine hundred sixty-one".