105312163203 has 40 divisors (see below), whose sum is σ = 171564254400. Its totient is φ = 63987086592.

The previous prime is 105312163199. The next prime is 105312163211. The reversal of 105312163203 is 302361213501.

105312163203 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 21 + 632 + 0 + 3 = 666.

It is not a de Polignac number, because 105312163203 - 2² = 105312163199 is a prime.

It is a super-2 number, since 2×105312163203² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105312163223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 549798 + ... + 716171.

It is an arithmetic number, because the mean of its divisors is an integer number (4289106360).

Almost surely, 2^105312163203 is an apocalyptic number.

105312163203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105312163203 is a deficient number, since it is larger than the sum of its proper divisors (66252091197).

105312163203 is a wasteful number, since it uses less digits than its factorization.

105312163203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266073 (or 1266064 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 105312163203 its reverse (302361213501), we get a palindrome (407673376704).

The spelling of 105312163203 in words is "one hundred five billion, three hundred twelve million, one hundred sixty-three thousand, two hundred three".