105424961 has 2 divisors, whose sum is σ = 105424962. Its totient is φ = 105424960.

The previous prime is 105424937. The next prime is 105424993. The reversal of 105424961 is 169424501.

It is an a-pointer prime, because the next prime (105424993) can be obtained adding 105424961 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103408561 + 2016400 = 10169^2 + 1420^2 .

It is a cyclic number.

It is not a de Polignac number, because 105424961 - 2¹⁴ = 105408577 is a prime.

It is a super-2 number, since 2×105424961² = 22228844803703042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105424931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52712480 + 52712481.

It is an arithmetic number, because the mean of its divisors is an integer number (52712481).

Almost surely, 2^105424961 is an apocalyptic number.

It is an amenable number.

105424961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105424961 is an equidigital number, since it uses as much as digits as its factorization.

105424961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105424961 is about 10267.6658009501. The cubic root of 105424961 is about 472.4049971832.

The spelling of 105424961 in words is "one hundred five million, four hundred twenty-four thousand, nine hundred sixty-one".