105355206416 has 20 divisors (see below), whose sum is σ = 214869171600. Its totient is φ = 49905097632.

The previous prime is 105355206413. The next prime is 105355206461. The reversal of 105355206416 is 614602553501.

It is a super-2 number, since 2×105355206416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 105355206416.

It is not an unprimeable number, because it can be changed into a prime (105355206413) 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 3 ways as a sum of consecutive naturals, for example, 173281286 + ... + 173281893.

It is an arithmetic number, because the mean of its divisors is an integer number (10743458580).

Almost surely, 2^105355206416 is an apocalyptic number.

105355206416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105355206416 is an abundant number, since it is smaller than the sum of its proper divisors (109513965184).

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

105355206416 is a wasteful number, since it uses less digits than its factorization.

105355206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346563206 (or 346563200 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 105355206416 its reverse (614602553501), we get a palindrome (719957759917).

The spelling of 105355206416 in words is "one hundred five billion, three hundred fifty-five million, two hundred six thousand, four hundred sixteen".