105060961 has 2 divisors, whose sum is σ = 105060962. Its totient is φ = 105060960.

The previous prime is 105060947. The next prime is 105061001. The reversal of 105060961 is 169060501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 39450961 = 8100^2 + 6281^2 .

It is an emirp because it is prime and its reverse (169060501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105060961 - 2¹⁷ = 104929889 is a prime.

It is a super-2 number, since 2×105060961² = 22075611052487042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105060931) 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, 52530480 + 52530481.

It is an arithmetic number, because the mean of its divisors is an integer number (52530481).

Almost surely, 2^105060961 is an apocalyptic number.

It is an amenable number.

105060961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105060961 is an equidigital number, since it uses as much as digits as its factorization.

105060961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105060961 is about 10249.9249265543. The cubic root of 105060961 is about 471.8606804771.

It can be divided in two parts, 10 and 5060961, that added together give a triangular number (5060971 = T₃₁₈₁).

The spelling of 105060961 in words is "one hundred five million, sixty thousand, nine hundred sixty-one".