105485617 has 2 divisors, whose sum is σ = 105485618. Its totient is φ = 105485616.

The previous prime is 105485609. The next prime is 105485641. The reversal of 105485617 is 716584501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78694641 + 26790976 = 8871^2 + 5176^2 .

It is a cyclic number.

It is not a de Polignac number, because 105485617 - 2³ = 105485609 is a prime.

It is a super-2 number, since 2×105485617² = 22254430787741378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105485117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52742808 + 52742809.

It is an arithmetic number, because the mean of its divisors is an integer number (52742809).

Almost surely, 2^105485617 is an apocalyptic number.

It is an amenable number.

105485617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105485617 is an equidigital number, since it uses as much as digits as its factorization.

105485617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 105485617 is about 10270.6191147369. The cubic root of 105485617 is about 472.4955788431.

The spelling of 105485617 in words is "one hundred five million, four hundred eighty-five thousand, six hundred seventeen".