105468553 has 2 divisors, whose sum is σ = 105468554. Its totient is φ = 105468552.

The previous prime is 105468533. The next prime is 105468557. The reversal of 105468553 is 355864501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68112009 + 37356544 = 8253^2 + 6112^2 .

It is an emirp because it is prime and its reverse (355864501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105468553 is a prime.

It is a super-2 number, since 2×105468553² = 22247231343827618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105468557) 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, 52734276 + 52734277.

It is an arithmetic number, because the mean of its divisors is an integer number (52734277).

Almost surely, 2^105468553 is an apocalyptic number.

It is an amenable number.

105468553 is a deficient number, since it is larger than the sum of its proper divisors (1).

105468553 is an equidigital number, since it uses as much as digits as its factorization.

105468553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 105468553 is about 10269.7883619868. The cubic root of 105468553 is about 472.4700995422.

The spelling of 105468553 in words is "one hundred five million, four hundred sixty-eight thousand, five hundred fifty-three".