105852961 has 2 divisors, whose sum is σ = 105852962. Its totient is φ = 105852960.

The previous prime is 105852959. The next prime is 105852979. The reversal of 105852961 is 169258501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81793936 + 24059025 = 9044^2 + 4905^2 .

It is a cyclic number.

It is not a de Polignac number, because 105852961 - 2¹ = 105852959 is a prime.

It is a super-2 number, since 2×105852961² = 22409698704935042, which contains 22 as substring.

Together with 105852959, it forms a pair of twin primes.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105852961.

It is not a weakly prime, because it can be changed into another prime (105852911) 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, 52926480 + 52926481.

It is an arithmetic number, because the mean of its divisors is an integer number (52926481).

Almost surely, 2^105852961 is an apocalyptic number.

It is an amenable number.

105852961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105852961 is an equidigital number, since it uses as much as digits as its factorization.

105852961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 105852961 is about 10288.4868177978. The cubic root of 105852961 is about 473.0434175945.

The spelling of 105852961 in words is "one hundred five million, eight hundred fifty-two thousand, nine hundred sixty-one".