105203054412 has 144 divisors (see below), whose sum is σ = 281597202432. Its totient is φ = 33050223360.

The previous prime is 105203054351. The next prime is 105203054417. The reversal of 105203054412 is 214450302501.

105203054412 is a `hidden beast` number, since 10 + 5 + 203 + 0 + 5 + 441 + 2 = 666.

It is a super-2 number, since 2×105203054412² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105203054417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16918728 + ... + 16924944.

It is an arithmetic number, because the mean of its divisors is an integer number (1955536128).

Almost surely, 2^105203054412 is an apocalyptic number.

105203054412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105203054412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140798601216).

105203054412 is an abundant number, since it is smaller than the sum of its proper divisors (176394148020).

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

105203054412 is a wasteful number, since it uses less digits than its factorization.

105203054412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105203054412 its reverse (214450302501), we get a palindrome (319653356913).

The spelling of 105203054412 in words is "one hundred five billion, two hundred three million, fifty-four thousand, four hundred twelve".