105300961 has 2 divisors, whose sum is σ = 105300962. Its totient is φ = 105300960.

The previous prime is 105300931. The next prime is 105300989. The reversal of 105300961 is 169003501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87534736 + 17766225 = 9356^2 + 4215^2 .

It is a cyclic number.

It is not a de Polignac number, because 105300961 - 2¹³ = 105292769 is a prime.

It is a super-2 number, since 2×105300961² = 22176584775047042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105300911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52650480 + 52650481.

It is an arithmetic number, because the mean of its divisors is an integer number (52650481).

Almost surely, 2^105300961 is an apocalyptic number.

It is an amenable number.

105300961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105300961 is an equidigital number, since it uses as much as digits as its factorization.

105300961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 105300961 is about 10261.6256509385. The cubic root of 105300961 is about 472.2197115212.

The spelling of 105300961 in words is "one hundred five million, three hundred thousand, nine hundred sixty-one".