105360002010 has 24 divisors (see below), whose sum is σ = 273936005460. Its totient is φ = 28096000512.

The previous prime is 105360001963. The next prime is 105360002017. The reversal of 105360002010 is 10200063501.

105360002010 is a `hidden beast` number, since 1 + 0 + 53 + 600 + 0 + 2 + 0 + 10 = 666.

105360002010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101760362001 + 3599640009 = 318999^2 + 59997^2 .

It is a super-2 number, since 2×105360002010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105360002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585333255 + ... + 585333434.

Almost surely, 2^105360002010 is an apocalyptic number.

105360002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105360002010 is an abundant number, since it is smaller than the sum of its proper divisors (168576003450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105360002010 is a wasteful number, since it uses less digits than its factorization.

105360002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170666702 (or 1170666699 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 105360002010 its reverse (10200063501), we get a palindrome (115560065511).

The spelling of 105360002010 in words is "one hundred five billion, three hundred sixty million, two thousand, ten".