105653807412 has 24 divisors (see below), whose sum is σ = 252538370112. Its totient is φ = 34358961600.

The previous prime is 105653807411. The next prime is 105653807443. The reversal of 105653807412 is 214708356501.

It is a happy number.

105653807412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105653807412² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105653807411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107371264 + ... + 107372247.

It is an arithmetic number, because the mean of its divisors is an integer number (10522432088).

Almost surely, 2^105653807412 is an apocalyptic number.

105653807412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105653807412 is an abundant number, since it is smaller than the sum of its proper divisors (146884562700).

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

105653807412 is a wasteful number, since it uses less digits than its factorization.

105653807412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214743559 (or 214743557 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 105653807412 in words is "one hundred five billion, six hundred fifty-three million, eight hundred seven thousand, four hundred twelve".