10105543353216 has 128 divisors (see below), whose sum is σ = 27059117621760. Its totient is φ = 3341457930240.

The previous prime is 10105543353211. The next prime is 10105543353251. The reversal of 10105543353216 is 61235334550101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105543353211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31068546 + ... + 31392126.

It is an arithmetic number, because the mean of its divisors is an integer number (211399356420).

Almost surely, 2^{10105543353216} is an apocalyptic number.

10105543353216 is a gapful number since it is divisible by the number (16) 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 10105543353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529558810880).

10105543353216 is an abundant number, since it is smaller than the sum of its proper divisors (16953574268544).

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

10105543353216 is a wasteful number, since it uses less digits than its factorization.

10105543353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324252 (or 324240 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 10105543353216 in words is "ten trillion, one hundred five billion, five hundred forty-three million, three hundred fifty-three thousand, two hundred sixteen".