104993281 has 2 divisors, whose sum is σ = 104993282. Its totient is φ = 104993280.

The previous prime is 104993263. The next prime is 104993293. The reversal of 104993281 is 182399401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 5313025 = 9984^2 + 2305^2 .

It is a cyclic number.

It is not a de Polignac number, because 104993281 - 2¹⁹ = 104468993 is a prime.

It is a super-2 number, since 2×104993281² = 22047178110289922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104993281.

It is not a weakly prime, because it can be changed into another prime (104993081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52496640 + 52496641.

It is an arithmetic number, because the mean of its divisors is an integer number (52496641).

Almost surely, 2^104993281 is an apocalyptic number.

It is an amenable number.

104993281 is a deficient number, since it is larger than the sum of its proper divisors (1).

104993281 is an equidigital number, since it uses as much as digits as its factorization.

104993281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 104993281 is about 10246.6229070850. The cubic root of 104993281 is about 471.7593349009.

The spelling of 104993281 in words is "one hundred four million, nine hundred ninety-three thousand, two hundred eighty-one".