105361146666353 has 8 divisors (see below), whose sum is σ = 107936365880616. Its totient is φ = 102786186268800.

The previous prime is 105361146666341. The next prime is 105361146666431. The reversal of 105361146666353 is 353666641163501.

It can be written as a sum of positive squares in 4 ways, for example, as 3957998838784 + 101403147827569 = 1989472^2 + 10069913^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105361146666353 - 2⁴ = 105361146666337 is a prime.

It is a super-2 number, since 2×105361146666353² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105361146668353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63879926 + ... + 65508527.

It is an arithmetic number, because the mean of its divisors is an integer number (13492045735077).

Almost surely, 2^{105361146666353} is an apocalyptic number.

It is an amenable number.

105361146666353 is a deficient number, since it is larger than the sum of its proper divisors (2575219214263).

105361146666353 is a wasteful number, since it uses less digits than its factorization.

105361146666353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129408355.

The product of its (nonzero) digits is 20995200, while the sum is 56.

The spelling of 105361146666353 in words is "one hundred five trillion, three hundred sixty-one billion, one hundred forty-six million, six hundred sixty-six thousand, three hundred fifty-three".