105361024 has 32 divisors (see below), whose sum is σ = 210494340. Its totient is φ = 52531200.

The previous prime is 105361013. The next prime is 105361037. The reversal of 105361024 is 420163501.

It can be written as a sum of positive squares in 2 ways, for example, as 83905600 + 21455424 = 9160^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105361024² = 22201890756657152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105360986 and 105361004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54474 + ... + 56374.

Almost surely, 2^105361024 is an apocalyptic number.

It is an amenable number.

105361024 is a deficient number, since it is larger than the sum of its proper divisors (105133316).

105361024 is an equidigital number, since it uses as much as digits as its factorization.

105361024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105361024 is about 10264.5518168111. The cubic root of 105361024 is about 472.3094781650.

The spelling of 105361024 in words is "one hundred five million, three hundred sixty-one thousand, twenty-four".